last updated, April 19, 2008

This contains a number of links to pdf and other files.

Ronald Brown PUBLICATIONS

a. Elements of Modern Topology, McGraw Hill, Maidenhead, 1968.

b. (coedited with T.L. Thickstun), Low-Dimensional Topology, (Volume 1 of
the conference on Topology in Low Dimension, Bangor 1979), London Math. Soc.
Lecture Notes No. 48 (1982).

c. Topology: a geometric account of general topology, homotopy types, and
the fundamental groupoid, Ellis Horwood, Chichester (1988) 460 pp.

d. Topology and
Groupoids, Booksurge PLC, 2006.

(i) ``How mathematics gets into knots'', London Mathematical Society Popular
Lectures Video Series, (1987) 50 min.

(ii) ``Mathematics and knots'', Exhibition of 16 A2 boards, designed by R.Brown,
N.D.Gilbert, and T.Porter, Mathematics and Knots, Bangor, 1989. Exhibited
at the Royal Society/ Joint Mathematical Council Pop Maths Roadshow, 1989-90;
British Association for the Advancement of Science, Swansea, 1990; National
Science Festival, Edinburgh, 1994.

(iii) ``Pivoted lines and the M\"{o}bius Band'', Computer Graphics Video,
Storyline by R. Brown, Programming by Ramen Sen, Mathematics and Knots /
IBM UK 4min. (1992).

(iv) ``Symbolic sculptures and mathematics'', World Wide Web
Site
http://www.popmath.org.uk

Sculptures: John Robinson. Production: Cara Quinton. Mathematics: Ronald
Brown. Edition Limit\'ee/ Centre for the Popularisation of Mathematics,
1996.

(v) ``Mathematics and knots'', World Wide Web Site
http://www.popmath/exhib/
Centre for the Popularisation of
Mathematics, 1997.

(vi) `Raising public awareness of mathematics':
CDRom, 2000,
Version 1.1, 2001.

1.
``Ten topologies for $X\times Y$'',
{\em Quart. J. Math.} (2) 14 (1963), 303-319.

2.
``Function spaces and product
topologies'', {\em Quart. J. Math.} (2) 15 (1964), 238-250.

3. ``Cohomology with chains as coefficients'', {\em Proc. London
Math. Soc.} (3) 14 (1964), 545-565.
pdf file

4. ``On K\"{u}nneth suspensions'', {\em Proc. Camb. Phil. Soc.}
60 (1964) 713-720.

5.
``The twisted Eilenberg-Zilber theorem'',
{\em Celebrazioni Archimedi de secolo xx, Syracusa, 1964, Simposi di topologia
} (1967) 33-37.

6.
``On a method of P. Olum'', {\em J.
London Math. Soc.} 40 (1965), 303-304.

7. ``Two examples in homotopy theory'', {\em Proc. Camb. Phil.
Soc.} 621 (1966) 575-576.

8.
``Groupoids and Van Kampen's theorem'',
{\em Proc. London Math. Soc.} (3) 17 (1967)
385-401. pdf

9. (with P.R. HEATH), ``Coglueing homotopy equivalences'', {\em
Math. Z.} 113 (1970) 313-362.

10.
``Fibrations of groupoids'', {\em
J. Algebra} 15 (1970) 103-132.

10a.
``The calculus and modern mathematics'',
{\em Mathematics Teaching} 51 (1970) 6pp.

11.
``Groupoids as coefficients'', {\em
Proc. London Math Soc.} (3) 25 (1972) 413-426.
pdf file

12.
``Sequentially proper maps and a
sequential compactification'', {\em J. London Math Soc.} (2) 7 (1973) 515-522.

13. (with G. DANESH-NARUIE), ``The fundamental groupoid as a
topological groupoid'', {\em Proc. Edinburgh Math. Soc.} 19 (1975) 237-244.

14.
(with J.P.L. HARDY), ``Subgroups of
free topological groups and free topological products of topological groups'',
{\em J. London Math Soc.} (2) 10 (1975) 431-440.

15.
(with P.J. HIGGINS and S.A. MORRIS),
``Countable products of lines and circles: their closed subgroups, quotients
and duality properties'', {\em Math. Proc. Camb. Phil. Soc.} 78 (1975) 19-32.

16. ``Some non-projective subgroups of free topological groups'',
{\em Proc. Amer. Math. Soc.} 52 (1975) 443-440.

17.
(with J.P.L. HARDY and S.A. MORRIS),
``The homotopy groups of an $n$-fold wedge'', {\em Math. Z.} 143 (1975) 119-121.

18.
(with J.P.L. HARDY), ``Topological
groupoids I: universal constructions'', {\em Math. Nachr.} 71 (1976) 273-286.

19.
(with G. DANESH-NARUIE and J.P.L.
HARDY), ``Topological groupoids II: covering morphisms and $G$-spaces'',
{\em Math. Nachr.} 74 (1976) 143-156.

20. (with C.B. SPENCER), ``$\cal G$-groupoids, crossed modules
and the fundamental groupoid of a topological group'', {\em Proc. Kon. Ned.
Akad. v. Wet.} 7 (1976) 296-302.

21. (with C.B. SPENCER), ``Double groupoids and crossed modules'',
Cah. Top. G\'{e}om. Diff. 17 (1976) 343-362.

22.
(with P.J. HIGGINS), ``Sur les complexes
crois\'es, $\omega$-groupo\"{\i}des et T-complexes'', {\em C.R. Acad. Sci.
Paris S\'er. A.} 285 (1977) 997-999.

23. (with P.J. HIGGINS), ``Sur les complexes crois\'es d'homotopie
associ\'es a quelques espaces filtr\'es'', {\em C.R. Acad. Sci. Paris S\'er.
A.}286 (1978) 91-93.

24.
(with S.A. Morris), ``Embeddings in
contractible or compact objects'', {\em Coll. Math.} 38 (1978) 193-212.

25.
(with P.J. HIGGINS), ``On the connection
between the second relative homotopy groups of some related spaces'', {\em
Proc. London Math. Soc.} (3) 36 (1978) 193-212.
pdf file

26.
(with P.I. BOOTH), ``Spaces of partial
maps, fibred mapping spaces and the compact-open topology'', {\em Gen. Top.
Appl.} 8 (1978) 181-195.

27.
(with P.I. BOOTH), ``On the application
of fibred mapping spaces to exponential laws for bundles, ex-spaces and other
categories of maps'', {\em Gen. Top. Appl.} 8 (1978) 165-179.

28.
(with P. NICKOLAS), ``Exponential
laws for topological categories, groupoids and groups and mapping spaces
of colimits'', {\em Cah. Top. G\'eom. Diff.} 20 (1979) 179-198.

29.
(with A.M. ABD-ALLAH), ``A compact-open
topology on partial maps with open domain'', {\em J. London Math Soc.} (2)
21 (1980) 480-486.

30.
``On the second relative homotopy
group of an adjunction space: an exposition of a theorem of J.H.C. Whitehead'',
{\em J. London Math. Soc.} (2) 22 (1980) 146-152.

31. (with P.J. HIGGINS), ``On the algebra of cubes'', {\em J. Pure
Appl. Algebra} 21 (1981) 233-260.
pdf

32. (with P.J. HIGGINS), ``Colimit theorems for relative homotopy
groups'', {\em J. Pure Appl. Algebra} 22 (1981) 11-41.
pdf

33.
(with P.J. HIGGINS), ``The equivalence
of $\omega$-groupoids and cubical $T$-complexes'', {\em Cah. Top. G\'eom.
Diff.} 22 (1981) 349-370.
pdf

34.
(with P.J. HIGGINS), ``The equivalence
of $\infty$-groupoids and crossed complexes'', {\em Cah. Top. G\'eom. Diff.}
22 (1981) 371-386.
pdf

35. (with J. HUEBSCHMANN), ``Identities among relations'', in {\em
Low dimensional topology}, London Math. Soc. Lecture Note Series 48 (ed.
R. Brown and T.L. Thickstun, Cambridge University Press, 1982), pp. 153-202.

36.
``Higher dimensional group theory'',
in {\em Low dimensional topology}, London Math Soc. Lecture Note Series 48
(ed. R. Brown and T.L. Thickstun, Cambridge University Press, 1982), pp.
215-238.

37.
(with P.J. HIGGINS), ``Crossed complexes
and non-abelian extensions'', {\em Category theory proceedings, Gummersbach},
1981, Lecture Notes in Math. 962 (ed. K.H. Kamps et al, Springer, Berlin,
1982), pp. 39-50.

38. ``Non-abelian cohomology and the homotopy classification of
maps'', in {\em Homotopie alg\'ebrique et algebre locale, Conf. Marseille-Luminy}
1982, ed. J.-M. Lemaire et J.-C. Thomas, Ast\'erisques 113-114 (1984), 167-172.

39. ``An introduction to simplicial $T$-complexes'', in {\em Esquisses
Math.}, 32 (1982) 1-27.

40.
(with P.R. HEATH and H. KAMPS),
``Groupoids and the Mayer-Vietoris sequence'', {\em J. Pure Appl. Alg.} 30
(1983) 109-129.

41. (with A. RAZAK), ``A van Kampen theorem for unions of non-connected
spaces'', {\em Archiv. Math.} 42 (1984) 85-88.

42. (with J.-L. LODAY), ``Excision homotopique en basse dimension'',
{\em C.R. Acad. Sci. Paris S\'er.} I 298 (1984) 353-356.

43.
``Coproducts of crossed $P$-modules:
applications to second homotopy groups and to the homology of groups'', {\em
Topology} 23 (1984) 337-345.

44. (with P.R. HEATH and K.H. KAMPS), ``Coverings of groupoids
and Mayer-Vietoris type sequences'', {\em Categorical Topology, Proc. Conf.
Toledo, Ohio, 1983}. (Heldermann Verlag, Berlin) (1984) 147-162.

45. ``Some non-abelian methods in homotopy theory and homological
algebra'', {\em Categorical topology: Proc. Conference Toledo, Ohio, 1983},
(ed. H.L. Bentley et al., Heldermann, Berlin, 1984), pp. 108-146.

46.
(with S.P. HUMPHRIES), ``Orbits under
symplectic transvections I'', {\em Proc. London Math. Soc.} (3) 52 (1986)
517-531. pdf file

47.
(with S.P. HUMPHRIES), ``Orbits under
symplectic transvections II: the case $K=\bf F_2$'', {\em Proc. London Math.
Soc.} (3) 52 (1986) 532-556. pdf
file

48. (with P.J. HIGGINS), ``Tensor products and homotopies for
$\omega$-groupoids and crossed complexes'', {\em J. Pure Appl. Alg.} 47 (1987)
1-33.
pdf

49. (with J.-L. LODAY), ``Homotopical excision, and Hurewicz theorems,
for $n$-cubes of spaces'', {\em Proc. London Math. Soc.} (3) 54 (1987) 176-192.
pdf

50.
``From groups to groupoids: a brief
survey'', {\em Bull. London Math. Soc.} 19 (1987) 113-134.
pdf

51.
(with J.-L. LODAY), ``Van Kampen theorems
for diagrams of spaces'', {\em Topology} 26 (1987) 311-334.
pdf

52.
(with D.L. JOHNSON and E.F. ROBERTSON),
``Some computations of non-abelian tensor products of groups'', {\em J. Algebra}
111 (1987) 177-202.
pdf

53.
(with P.R. HEATH), ``Lifting amalgamated
sums and other colimits of groups and topological groups'', {\em Math. Proc.
Camb. Phil. Soc.} 102 (1987) 273-280.

54.
``A non abelian tensor product of
groups'', {\em Algebra-Tagung Halle 1986}, Wissensch. Beitr., 33, Martin-Luther
Univ. Halle-Wittenberg, Halle-Saale, (1987) 59-72.

55.(with G.J. ELLIS), ``Hopf formulae for the higher homology
of a group'', {\em Bull. London Math. Soc.} 20 (1988) 124-128.
erratum

56.
``Carpentry: a fable'', {\em Mathematical
Intelligencer}, 11, no.4 (1989) 37.

57.
(with M. GOLASINSKI), ``A model structure
for the homotopy theory of crossed complexes'', {\em Cah. Top. G\'eom. Diff.
Cat}. 30 (1989) 61-82.
pdf

58.
``Symmetry, groupoids, and higher
dimensional analogues'', {\em Symmetry II}, ed. Istvan Hargittai, {\em Computers
Math. Applic.} 17 (1989) 49-57.

59. (with N.D. GILBERT), ``Algebraic models of 3-types and automorphism
structures for crossed modules'', {\em Proc. London Math. Soc.} (3) 59 (1989)
51-73. pdf file

60.
``Triadic Van Kampen theorems and
Hurewicz theorems'', {\em Algebraic Topology, Proc. Int. Conf. March 1988},
Edited M.Mahowald and S.Priddy, Cont. Math. 96 (1989) 39-57.

61.
(with P.J. HIGGINS), ``Crossed complexes
and chain complexes with operators'', {\em Math. Proc. Camb. Phil. Soc.}
107 (1990) 33-57.
pdf

62. ``Some problems in non-Abelian homotopical and homological
algebra'', {\em Homotopy theory and related topics, Proceedings Kinosaki,
1988}, ed. M. Mimura, Springer Lecture Notes in Math., 1418 (1990) 105-129.
pdf

63.
``Conversations with John Robinson''
in {\em Symbolism: sculptures and tapestries}, by John Robinson, (Mathematics
and Knots, Bangor, Wales) (1989) 2-29.

64.
``Why we made an exhibition'', in
{\em Souvenir Guide to the Pop Maths Road Show}, Royal Society/ Joint Mathematics
Council (1989) 10-12.

65.
(with T.PORTER), ``Making a mathematical
exhibition'', in {\em The popularization of mathematics}, edited A.G.Howson
and J.-P. Kahane, ICMI Study Series, Cambridge University Press, (1990) 51-64.

66. Review of {\em Algebraic homotopy}, by H.J.Baues, Cambridge
University Press, 1988, 455pp, {\em Bull.American Math. Soc.} 23 (1990) 182-190.

67. (with T.PORTER), ``Mathematics in Context: a new course'',
{\em For the Learning of Mathematics}, 10 (1990) 10-15.

68.
``$q$-perfect groups and universal
$q$-central extensions'', {\em Publ. Mat. Univ. Auton. Barcelona} 34 (1990)
291-297.

69. ``Local-to-global techniques, groupoids, and holonomy'', {\em
Proceedings International Conference on the Calculus of Variations, Tbilisi
Nov. 1989}.

70.
``Higher order symmetry'', {\em Proc.
of Assiut First International Conference of Mathematics and Statistics, Assiut,
Feb, 1990}, Part I, Algebra and Geometry, Ed. E.K.Al-Hussaini and
A.M.Abou-El-Ela, University of Assiut, (1990), 25-44.

71. (with P.J.HIGGINS), ``The classifying space of a crossed complex'',
{\em Math. Proc. Camb. Phil. Soc.} 110 (1991) 95-120.

72. (with H.J.BAUES), ``On the relative homotopy groups of the
product filtration and a formula of Hopf'', {\em J. Pure Appl. Algebra} 89
(1993) 49-61.
pdf

73.
Preface to {\em Combinatorial homotopy
and four-dimensional complexes}, by H.J.Baues, pp x-xx, de Gruyter, Berlin,
1991.

74. ``Computing homotopy types using crossed $n$-cubes of groups'',
{\em Adams Memorial Symposium on Algebraic Topology}, Vol 1, edited N. Ray
and G Walker, Cambridge University Press, 1992, 187-210.
pdf

75.
(with M. E.-S. A.-F. AOF), ``The holonomy
groupoid of a locally topological groupoid'', {\em Top. Appl.}, 47 (1992)
97-113.
pdf

76.
(with K.C.H.MACKENZIE), ``Determination
of a double Lie groupoid by its core diagram'', {\em J. Pure Appl. Algebra},
80 (1992) 237-272.

77.
(with JOHN ROBINSON), ``Borromean
circles'', {\em Letter, American Math. Monthly}, April, (1992) 376-377.

78. ``Out of line'', {\em Royal Institution Proceedings}, 64 (1992)
207-243.
pdf
html

79.
(with J.ROBINSON), ``The Universe
Series of Symbolic Sculptures'', in {\em Symbolic Sculptures}, by John Robinson,
Edition Limite\'e, Carouge Geneve, (1992), 103-123.

80.
``The Waldegrave White Paper'', {\em
London Math. Soc. Newsletter}, November, (1992).

81. (with T. PORTER), ``Why choose mathematics?'', in {\em Mathematics
for the Future}, IMA and Hobson's Press, 1993, 1994, 1995).

82. (with O MUCUK), ``Covering groups of non-connected topological
groups revisited'', {\em Math. Proc. Camb. Phil. Soc}, 115 (1994) 97-110.
pdf

83. (with C.PRITCHARD), ``The third man's knotty problems'', {\em
The Scottish Mathematical Council Journal}, 23 (1993) 62-66.

84.
``Symbolic sculptures by John Robinson",
{\em Bangor Tourist Guide}, Mathematics and Knots, 1993.

85. ``Higher order symmetry of graphs'', {\em Bull. Irish Math.
Soc.} 32 (1994) 46-59.
pdf

86. (with A.P.TONKS), ``Calculations with simplicial and cubical
groups in AXIOM'', {\em J. Symbolic Computation}, 17 (1994) 159-179.

87. (with T.PORTER), ``The methodology of mathematics'', {\em Bulletin
International Commission of Mathematical Instruction}, 37 (1994) 23-37.

88. (with O. MUCUK), ``The monodromy groupoid of a Lie groupoid'',
{\em Cah. Top. G\'eom. Diff. Cat},36 (1995) 345-369.

89.
(with O. MUCUK), ``Foliations, locally
Lie groupoids, and holonomy'', {\em Cah. Top. G\'eom. Diff. Cat}, 37 (1996)
61-71.

90.
(with T. PORTER),
``The methodology
of mathematics'', {\em Math. Gazette},
79, July (1995) 321-334. {\em CUBO} 2 (2000) 85-100.

91.
``Representation and computation for
crossed modules'', Proceedings {\em Cat\'egories, Algebres, Esquisses,
Neo-esquisses}, Caen, 1994, 6pp.

92.
(with C.D.WENSLEY), ``On finite induced
crossed modules and the homotopy 2-type of mapping cones'', {\em Theory and
Applications of Categories} 1(3) (1995) 54-71.

93.
``Homotopy theory, and change of base
for groupoids and multiple groupoids'', {\em Applied categorical structures},
4 (1996) 175-193.
pdf

94.
(with M. GOLASINSKI, T.PORTER and
A.P.TONKS), ``Spaces of maps into classifying spaces for equivariant crossed
complexes,'' {\em Indag. Mathem.}, 8 (1997) 157-172.

95.
(with C.D.WENSLEY), ``Computing crossed
modules induced by an inclusion of a normal subgroup, with applications to
homotopy 2-types'', {\em Theory and Applications of Categories} 2 (1996)
3-16.

96.
(with G.JANELIDZE), ``Van Kampen theorems
for categories of covering morphisms in lextensive categories'', {\em J.
Pure Appl. Algebra} 119 (1997) 255-263.

97. (with T. PORTER), ``On the Schreier theory of non-abelian
extensions: generalisations and computations'', {\em Proceedings Royal Irish
Academy}, 96 (1996) 213-227.

98.
(with G.JANELIDZE), "Galois theory
of second order covering maps of simplicial sets", J. Pure Applied Algebra,
135 (1999) 83-91.

99.
`What should be the output of mathematical
education?', in {\em Mathematics Education
as a research domain: a search for identity}, edited Kilpatrick, J., Sierpinska,
A., Kluwer, Lancaster, 1997, 459-476.

100. (with T.PORTER), "Matematikos metodologia", Alfa + Omega, 1
Nr 5 (1998) 71-84 (Lithuanian translation of `The Methodology of Mathematics',
Formally, "Alpha+omega" is a supplement of the "Lithuanian Mathematical Journal",
which has an ISSN number 0132--2818.)

101.
`Mathematics and knots', in Visual
Representations and Interpretations, Ray Paton and Irene Nielson (Eds),
Springer-Verlag London 1999, 32-42. [translated into Lithuanian as `Matematika
ir mazgai', "alpha + omega", No.2 (6) (1998) 5-14.
pdf

102.
`Groupoids and crossed objects in
algebraic topology',
Homology,
homotopy and applications', 1 (1999) 1-78.
pdf

103.
`Nusos, matematiques i art', Butll.
de la Soc. Catalana d. Matematiques, 13 (1998) 7-19. [Translated into Catalan
by Gemma Bastardas from an article `Knots, mathematics and art' published
in English in the Actes del VI Congres de Llenguatges Naturels i Llenguatges
Formals (Tarragona, 17-21 Sept, 1990).]

104. (with A. RAZAK SALLEH), ``Free crossed crossed resolutions
of groups and presentations of modules of identities among relations'' ,
London Math. Soc. J. Computation and Math. (2) (1999)
28-61.
pdf

105.
(with G.H. MOSA) `Double categories,
2-categories, thin structures and connections', Theory and Applications of
Categories, (1999), 163-175.

106.
`John Robinson's Symbolic Sculptures,
knots and mathematics', Proceedings ISAMA99, Ed N. Friedman and J. Barrallo,
University of the Basque Country (san Sebastian) 1999, 75-82.

107. (with A. Heyworth) `Using rewriting systems to compute left
Kan extensions and induced actions of categories', J. Symbolic Computation
29 (2000) 5-31.
pdf

108. `Dismay and decadence in British Universities', letter to{\em
Science \& Public Affairs}, August, 1999, p. 28.

109.
`Mathematical themes in the sculptures
of John Robinson : 1 Borromean sculptures' Mathematics Today 36 (1)
(2000) 6-7.

110.
Review of `History of Topology' ed
I M James, {\em London Math Soc. Newsletter}, Jan 2000, 25-27.

111.
(with T. Porter) `Mathematical Structure:
Knowledge, Representation and Interpretation', in Theoria et Historia
Scientiarum, the International Journal of Interdisciplinary Studies, special
issue on `Knowledge: representations and interpretations', edited W. Meyer
and R. Paton. 6 (2002) 39-54.

112.
`The symbolic sculptures of John
Robinson', in Theoria et Historia
Scientiarum, the International Journal of Interdisciplinary Studies, issue
on `Knowledge: representation and interpretation.', edited W. Meyer and R.
Paton, 6 (2002) 55-73.

113.
(with I. I\c cen ), 'Locally Lie
subgroupoids and their Lie holonomy and monodromy groupoids', {\it Top. and
its Appl.} 115 (2000) 125-138.
pdf

113a.`Mathematical themes in the sculptures of John Robinson : 2
Polyhedra' Mathematics Today 36 (6) (2000) 172-173.

114.
(with M. GOLASINSKI, T.PORTER and A.P.TONKS), ``Spaces of maps into classifying
spaces for equivariant crossed complexes, II: The general topological group
case.'' K-theory 23 (2001) 129-155.

115. (with \.I. \.I\c cen ), `Homotopies and automorphisms of crossed modules
of groupoids', Applied Categorical Structures, 11

(2003) 185-206.
pdf

116. (with F. A. Al-Agl and R. STEINER), ``Multiple categories:
the equivalence of a globular and a cubical approach'', Advances in Mathematics
170 (2002) 71-118.
pdf

117.
(with T. PORTER),
``The methodology
of mathematics'', European Mathematical
Society Newsletter June (2001) 12-14, Sept. (2001) 14-16.

118.(with K.HARDIE, H.KAMPS, T. PORTER), `` The homotopy double
groupoid of a Hausdorff space'',
Theory and Applications of Categories, 10 (2002)
71-93.

119. (with I.ICEN and O. MUCUK) `Holonomy and monodromy groupoids',
in Lie Algebroids, Banach Center Publications Institute of Mathematics, Polish
Academy of Sciences, Warsaw, 54 (2001) 9-20.
pdf

120.
`Algebraic homotopy', Supplement III
Encyclopaedia of Mathematics Managing Editor: M. Hazewinkel Kluwer Academic
Publishers (2002) 29-31.

121.
`Exponential law in topology', Supplement
III Encyclopaedia of Mathematics Managing Editor: M. Hazewinkel Kluwer Academic
Publishers (2002) 142-143.

122.
(with \.I. I\c{c}en, and O. Mucuk),
`Examples and coherence properties of local subgroupoids', Topology and its
Applications 127 (2003) 393-408.

123. (with I.ICEN) `Towards a 2-dimensional notion of holonomy',
Advances in Math. 178 (2003) 141-175.
pdf

124. (with C.D.WENSLEY), `Computation and homotopical applications
of induced crossed modules', J. Symbolic Computation 35 (2003) 59-72.
pdf

125.
(with M. BULLEJOS and T.PORTER), `Crossed
complexes, free crossed resolutions and graph products of groups', Proceedings
Workshop Korea 2000, Heldermann Verlag. 27 (2003) 11-26.
pdf

126. (with E. MOORE, T.PORTER, C.D.WENSLEY), `Crossed complexes,
and free crossed resolutions for amalgamated sums and HNN-extensions of groups',
UWB Math Preprint 02-09. math.AT/0207037 Georgian Math. J. 9 (2002) 623-644.
pdf

127.
`Serie di sculture simboliche
dell'universo di John Robinson', in {\em Matematica, arte, tecnologia, cinema},
edited Michele Emmer, Mirella Manaresi, Springer-Verlag Italia, Milano, 2002,
19-30.

128.
`Forum discussion', in Mathematics
and Art,: Mathematical Visualisation in Art and Education, Editor Claude
P . Bruter, Springer-Verlag (Berlin Heidelberg) 2002, 155-159.

129. (with G. JANELIDZE), `Galois Theory and a new homotopy double
groupoid of a map of spaces', Applied Categorical Structures 12 (2004) 63-80.
pdf

130. (with T. PORTER), `The intuitions of higher dimensional algebra
for the study of structured space', Revue de Synthèse, 124 (2003)
173-203. ` UWB Math. Preprint (pdf file).

131. (with HIGGINS, P.J.), `Cubical abelian groups with connections
are equivalent to chain complexes',
Homology, Homotopy and
Applications, 5(1) (2003) 49-52.

132. `Crossed complexes and homotopy groupoids as non commutative
tools for higher dimensional local-to-global problems', Proceedings of the
Fields Institute Workshop on Categorical Structures for Descent and Galois
Theory, Hopf Algebras and Semiabelian Categories, September 23-28, 2002,
Fields Institute Communications 43 (2004)
101-130. pdf of revised
version

133. `Les escultures simb\`oliques de John Robinson', M\`etode,
Universitat de Valencia, Revista de Difusi\'o de la Investigaci\'o, Primavera
2003, no. 37, 67-71.

134. (with J.F. Glazebrook), `Connections, local subgroupoids, and
a holonomy Lie groupoid of a line bundle gerbe', Univ. Iagel. Acta Math.
XLI (2003) 283-296 (UWB Math Preprint
02.22).

135. (with H.B. Griffiths) `Obituary: W.H. Cockcroft', Bull. London
Math. Soc. 37 (2005) 149-155.

136. (with T. Porter), `Category theory and higher dimensional
algebra: potential descriptive tools in neuroscience', Proceedingsof the
International Conference on Theoretical Neurobiology, Delhi, February 2003,
edited by Nandini Singh, National Brain Research Centre, Conference Proceedings
1 (2003) 80-92.
pdf

137. (with R.Paton and T. Porter), `Categorical language and
hierarchical models for cell systems', Computation in Cells and Tissues -
Perspectives and Tools of Thought, Paton, R.; Bolouri, H.; Holcombe, M.;
Parish, J.H.; Tateson, R. (Eds.) Natural Computing Series, Springer (2004)
289-303.
pdf

138. `$k$-spaces', in Encyclopedia of General Topology, ed. K.P.Hart,
J. Nagata, and J.E. Vaughan, Elsevier (2004) 189-191.
pdf

139.
(with N. Ghani, A.Heyworth, C.D.Wensley),
`String rewriting systems for double coset systems', J. Symb. Comp. 41 (2006)
573-590.UWB Math Preprint 04.04.
arXiv:math/0508391

140. (with H. Kamps and T. Porter), `A homotopy double groupoid
of a Hausdorff space II: a van Kampen theorem',
Theory and Appl.
Cat.14, (2005) 200-220.

141. `John Robinson's Symbolic Sculptures: Knots and mathematics',
in `The visual mind II', edited Michele Emmer, MIT Press, (2005) 125-139.

142.
`Mathematicians struggle for truth',
Letter to the Independent, Aug
17, 2005.

143. `Allow beautiful minds to thrive', letter in the Times
HigherEducational Supplement, September 16, 2005.

144. `Origins of Grothendieck's Pursuing Stacks', Letter, Notices
American Math. Soc., 52 (8) Sept, 2005, 830.

145. (with I. C. Baianu, G.
Georgescu, and J. F. Glazebrook), `Complex nonlinear biodynamics in categories:
higher dimensional algebra, and Lukasiewicz--Moisil Topos: transformations
of neuronal, genetic and neoplastic networks', Axiomathes 16 (2006)
65-122.

146.
(with T. Porter) `Category Theory:
an abstract setting for analogy and comparison', In: What is Category Theory?
Advanced Studies in Mathematics and Logic, Polimetrica Publisher, Italy,
(2006) 257-274.
pdf

147. `Three themes in the work of Charles Ehresmann: Local-to-global; Groupoids;
Higher dimensions', Proceedings of the 7th Conference on the Geometry and
Topology of Manifolds: The Mathematical Legacy of Charles
Ehresmann, Bedlewo (Poland) 8.05.2005-15.05.2005, Banach Centre
Publications 76, Institute of Mathematics Polish Academy of Sciences, Warsaw,
(2007) 51-63. (math.DG/0602499).
pdf

148. (with Bak, A., Minian, G., and Porter, T.), `Groupoid atlases:
an Introduction', abstract of talk to the `Colloque International: Charles
Ehresmann: 100 ans', Amiens 7-9 October, 2005, Cah. Top. G\'eom. Diff. Cat.
46 (2005) 183.

149.
(with Bak, A., Minian, G., and Porter,
T.), `Global actions, groupoid atlases and applications',
J. Homotopy
and Related Structures, 1 (2006) 101-167.

150. (with T. Porter), `Analogy, concepts and methodology in
mathematics', Eureka, (September 2006) 23-27. UWB Math Preprint 06.08.
pdf

151. `Groupoids, the Phragmen-Brouwer property and the Jordan curve
theorem', J. Homotopy and Related Structures 1 (2006) 175-183.
arXiv:math/0607229
pdf

152. (with R. Sivera), `Normalisation for the fundamental crossed complex
of a simplicial set', J. Homotopy and Related Structures, Special
Issue devoted to the memory of Saunders Mac Lane, 2 (2007) 49-79.
math.AT/0611728
.
pdf

153. `Promoting Mathematics', MSOR Connections 7 no 2 July 2007 21-25.
pdf

154. `John Robinson Sculptor, May 5 1935-April 6, 2007',
Hyperseeing, June 2007, 3-7.
pdf

155. `John Robinson, The Sculptor', LMS Newsletter, July 2007, p.8.
pdf

156. (with I. C. Baianu and J. F.
Glazebrook), ` Categorical Ontology of Complex Space-Time Structures: The
Emergence of Life and Human Consciousness', Axiomathes,
**17:**
(2007) 223-352.
pdf

157. (with I. C. Baianu and J. F.
Glazebrook), `A Conceptual Construction for Complexity Levels Theory in SpaceTime
Categorical Ontology: Non-Abelian Algebraic Topology, Many-Valued Logics
and Dynamic Systems', Axiomathes , **17 **(2007) .
pdf

158. (with I. C. Baianu and J. F. Glazebrook), `A Non--Abelian Categorical
Ontology and Higher Dimensional Algebra of Spacetimes and Quantum Gravity'.
Axiomathes , **17 **(2007)
353-408
pdf

159 (with I. C. Baianu and J. F. Glazebrook), CATEGORICAL ONTOLOGY
OF COMPLEX SYSTEMS, META--SYSTEMS AND LEVELS: The Emergence of life, Human
Consciousness and
Society'. In: ``Theory and Applications
of Ontology." vol.1, R. Poli, et al., eds. 2008, Springer: Berlin (in
press).

160. `Remembering
George Mackey',
Letter, Notices American Mathematical
Society, 54 no.10 , November, 2007,
p.1280.

161. `Mathoetic mode', Newsletter, London Mathematical Society, January 2008,
p.26. html

162. `A new higher homotopy groupoid: the fundamental globular omega-groupoid
of a filtered space', Homotopy, homology and applications, 10 (2008), No.
1, pp.327-343. pdf

163. with I. Morris, J. Shrimpton and C.D. Wensley, `Graphs of Morphisms
of Graphs', Electronic
Journal of Combinatorics, A1 of Volume 15(1), 2008. 1-28.
pdf

Preprints

- Normalisation for the fundamental crossed complex of a simplicial set arXiv:math/0611728 [ps, pdf, other]

- A new higher homotopy groupoid: the fundamental globular omega-groupoid of a filtered space arXiv:math/0702677 [ps, pdf, other]

Possible connections between whiskered categories and groupoids, many object Lie algebras, automorphism structures and local-to-global questions arXiv:0708.1677 [ps, pdf, other]

Rough Analysis of types of output

Papers on teaching: 10a, 56, 67, 80, 81, 87, 90, 99, 100

Papers on Popularisation: 63, 64, 65, 77, 79, 83, 101, 103, 106, 108, 117, 127, 128, 133.

General expositions: 58, 78, 111, 112, 135, 136

Research Papers: The rest.

Papers in preparation

P2. (with C.D.WENSLEY), ``On sorting sequences''.

1. (with P.J. HIGGINS and R.SIVERA) `Nonabelian algebraic topology.

02.25 BROWN,
R. & HIGGINS, P.J.

The fundamental groupoid of the quotient of a Hausdorff space by a discontinuous
action of a discrete group is the orbit groupoid

Preprints not yet published

82.2 ``Holonomy and monodromy groupoids'', U.C.N.W.
Pure Math. Preprint 82.2, 10pp.

86.4 ``A convenient category of topological spaces: historical note'', U.C.N.W.
Pure Math. Preprint 86.4, 3pp.

88.11 (with G.H.MOSA), ``Double categories, $R$-categories, and crossed
modules'', U.C.N.W. Mathematics Preprint 88.11, 13pp.

89.12 (with N.D. GILBERT and J. SHRIMPTON), ``Symmetry objects in closed
categories'', 24pp.

90.23 ``The sculptures of John Robinson'', 9pp.

91.14 (with N.D.GILBERT, H.-J.HOEHNKE and J.SHRIMPTON), ``Non-Abelian tensor
products of groups; groupoids; quadratic forms; and higher order symmetry'',
53pp, UCNW Math Preprint 91.14.

To Ronald Brown's Offprint/Preprint page

Escape routes

Back to Ronald Brown's Homepage

Back to School of Informatics, Mathematics Division, Homepage