Ronald Brown

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Topology and Groupoids

Ronald Brown, 2006 .

From Groups to Groupoids: a Brief Survey

Ronald Brown, 1987 .

Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids

P. J. Higgins, Ronald Brown, R. Sivera, 2011 .

Groupoids and crossed objects in algebraic topology

Ronald Brown, 1999 .

COMPUTING CROSSED MODULES INDUCED BY AN INCLUSION OF A NORMAL SUBGROUP, WITH APPLICATIONS TO HOMOTOPY 2-TYPES

Ronald Brown, C. Wensley, L. Breen, 1996 .

Global actions, groupoid atlases and related topics

T. Porter, Ronald Brown, G. Minian, 2006 .

GLOBAL ACTIONS, GROUPOID ATLASES AND RELATED TOPICS (DEDICATED TO THE MEMORY OF SAUNDERS MACLANE(1909-2005)

T. Porter, Ronald Brown, G. Minian, 2006 .

Orbits Under Symplectic Transvections I

Stephen P. Humphries, Ronald Brown, 1986 .

Multiple Categories: The Equivalence of a Globular and a Cubical Approach

Ronald Brown, R. Steiner, Fahd Ali Al-Agl, 2000, math/0007009.

Van Kampen theorems for categories of covering morphisms in lextensive categories

George Janelidze, G. Janelidze, Ronald Brown, 1997 .

Galois Theory and a New Homotopy Double Groupoid of a Map of Spaces

G. Janelidze, Ronald Brown, 2002, Appl. Categorical Struct..

Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems ⁄

Ronald Brown, 2002, math/0212274.

Holonomy and monodromy groupoids

Ronald Brown, I. Içen, O. Mucuk, 2001, math/0110064.

Homotopies and Automorphisms of Crossed Modules of Groupoids

Ronald Brown, I. Içen, 2000, Appl. Categorical Struct..

Using Rewriting Systems to Compute Left Kan Extensions and Induced Actions of Categories

Ronald Brown, A. Heyworth, 1999, J. Symb. Comput..

Galois theory of second order covering maps of simplicial sets

G. Janelidze, Ronald Brown, 1999 .

Some nonprojective subgroups of free topological groups

Ronald Brown, 1975 .

POSSIBLE CONNECTIONS BETWEEN WHISKERED CATEGORIES AND GROUPOIDS, LEIBNIZ ALGEBRAS, AUTOMORPHISM STRUCTURES AND LOCAL-TO-GLOBAL QUESTIONS

Ronald Brown, 2010 .

Possible connections between whiskered categories and groupoids, many object Leibniz algebras, automorphism structures and local-to-global questions

Ronald Brown, 2007, 0708.1677.

The equivalence of $\infty$-groupoids and crossed complexes

P. J. Higgins, Ronald Brown, 1981 .

The equivalence of $\omega $-groupoids and cubical $T$-complexes

P. J. Higgins, Ronald Brown, 1981 .

Fibrations of Groupoids

Ronald Brown, 1970 .

Free crossed resolutions for graph products of groups

T. Porter, Ronald Brown, M. Bullejos, 2001, math/0101220.

Free Crossed Resolutions of Groups and Presentations of Modules of Identities among Relations

Ronald Brown, A. R. Salleh, 1998, LMS J. Comput. Math..

On finite induced crossed modules and the homotopy 2-type of mapping cones

Ronald Brown, C. Wensley, 1995, math/9503202.

Towards a 2-dimensional notion of holonomy

Ronald Brown, I. Içen, 2000, Journal of Geometric Mechanics.

ec 2 00 1 Towards a 2-dimensional notion of holonomy ∗

Ronald Brown, 2008 .

S ep 2 00 0 Towards a 2-dimensional notion of holonomy ∗

Ronald Brown, 2008 .

Spaces of maps into classifying spaces for equivariant crossed complexes, II: The general topological group case.

M. Golasiński, T. Porter, Ronald Brown, 1997, math/9808111.

On relative homotogy groups of the product filtration, the James construction, and a formula of Hopf

Ronald Brown, H. Baues, 1993 .

Determination of a double Lie groupoid by its core diagram

Ronald Brown, K. Mackenzie, 1992 .

Algebraic Models of 3‐Types and Automorphism Structures for Crossed Modules

N. D. Gilbert, Ronald Brown, 1989 .

Foliations, locally lie groupoids and holonomy

Ronald Brown, O. Mucuk, 1996 .

2 2 A ug 2 00 0 Local subgroupoids II : Examples and properties ∗

Ronald Brown, O. Mucuk, 2008 .

Topological groupoids: II. Covering morphisms and G‐spaces

Ronald Brown, J. Hardy, G. Danesh-Naruie, 2009 .

ERRATUM TO \POSSIBLE CONNECTIONS BETWEEN WHISKERED CATEGORIES AND GROUPOIDS, LEIBNIZ ALGEBRAS, AUTOMORPHISM STRUCTURES AND LOCAL-TO-GLOBAL QUESTIONS ", VOL.5 (1) 2010, PP.305-318.

Ronald Brown, 2010 .

Double groupoids and crossed modules

Ronald Brown, C. B. Spencer, 1976 .

Topology, A Geometric Account Of General Topology, Homotopy Types And The Fundamental Groupoid

Ronald Brown, Ronald T. Brown, 1988 .

Van Kampen theorems for diagrams of spaces

Ronald Brown, J. Loday, 1987 .

Calculations with Simplicial and Cubical Groups in AXIOM

Ronald Brown, Andrew Tonks, Ronald Brown, 1994, J. Symb. Comput..

ON THE CONNECTION BETWEEN THE SECOND RELATIVE HOMOTOPY GROUPS OF SOME RELATED SPACES

P. J. Higgins, Ronald Brown, 1978 .

The classifying space of a crossed complex

P. J. Higgins, Ronald Brown, 1991, Mathematical Proceedings of the Cambridge Philosophical Society.

Tensor products and homotopies for ω-groupoids and crossed complexes

P. J. Higgins, Ronald Brown, Ronald Brown, 1987 .

Crossed modules and the fundamental groupoid of a topological group

Ronald Brown, C. B. Spencer, D. Hanink, 1976 .

A NEW HIGHER HOMOTOPY GROUPOID: THE FUNDAMENTAL GLOBULAR !-GROUPOID OF A FILTERED SPACE

Ronald Brown, 2008 .

ON THE SCHREIER THEORY OF NONABELIAN EXTENSIONS: GENERALISATIONS AND COMPUTATIONS

T. Porter, Ronald Brown, 2003 .

A model structure for the homotopy theory of crossed complexes

M. Golasiński, Ronald Brown, 1989 .

Some problems in non-abelian homotopical and homological algebra

Ronald Brown, 1990 .

HIGHER DIMENSIONAL PEIFFER ELEMENTS IN SIMPLICIAL COMMUTATIVE ALGEBRAS

T. Porter, Ronald Brown, 1997 .

Homotopical Excision, and Hurewicz Theorems, for n-Cubes of Spaces

Ronald Brown, J. Loday, 1987 .

Colimit theorems for relative homotopy groups

P. J. Higgins, Ronald Brown, Ronald T. Brown, 1981 .

Triadic van Kampen and Hurewicz Theorems

Ronald Brown, 2012 .

Covering morphisms of crossed complexes and of cubical omega-groupoids are closed under tensor product

Ronald Brown, R. Street, 2011 .

On the algebra of cubes

P. J. Higgins, Ronald Brown, Ronald T. Brown, 1981 .

The homotopy groups of ann-fold wedge

Ronald Brown, S. Morris, L. Hardy, 1975 .

APPLICATIONS OF PEIFFER PAIRINGS IN THE MOORE COMPLEX OF A SIMPLICIAL GROUP

T. Porter, Ronald Brown, A. Mutlu, 1998 .

Elements of Modern Topology

Ronald T. Brown, Ronald Brown, 1968 .

The twisted Eilenberg-Zilber Theorem

Ronald Brown, Ronald Brown, 2009 .

Coproducts of crossed P-modules: Applications to second homotopy groups and to the homology of groups

Ronald Brown, 1984 .

Hopf Formulae for the Higher Homology of a Group

Ronald Brown, G. Ellis, 1988 .

Crossed complexes and chain complexes with operators

P. J. Higgins, Ronald Brown, 1990, Mathematical Proceedings of the Cambridge Philosophical Society.

On the Second Relative Homotopy Group of an Adjunction Space: An Exposition of a Theorem of J. H. C. Whitehead

Ronald Brown, 1980 .

A Compact‐Open Topology on Partial Maps with Open Domain

Ronald Brown, A. Abd-Allah, 1980 .

Groupoids and Van Kampen's Theorem

Ronald Brown, 1967 .

Mathematics and Knots

Ronald T. Brown, Ronald Brown, 1999, Visual Representations and Interpretations.

ORIENTED SINGULAR HOMOLOGY

M. Barr, Ronald Brown, 1995 .

Free crossed resolutions for graph products and amalgamated sums of groups

T. Porter, Ronald Brown, M. Bullejos, 2001 .

The algebra of cubes ⁄y

P. J. Higgins, Ronald Brown, Gwynedd Ll, 2002 .

Crossed complexes and non-abelian extensions

P. J. Higgins, Ronald Brown, 1982 .

GROUPOIDS AS COEFFICIENTS

Ronald Brown, 1972 .

Spaces of partial maps, fibred mapping spaces and the compact-open topology

Ronald Brown, Ronald Brown, Peter I. Booth, 1978 .

Topological groupoids: I. universal constructions

Ronald Brown, J. Hardy, 1976 .

Banach Center Publications, Volume ** Institute of Mathematics Polish Academy of Sciences Warszawa 200* Three Themes in the Work of Charles Ehresmann: Local-to-global; Groupoids; Higher Dimensions

Ronald Brown, 2022 .

VAN KAMPEN’S THEOREM FOR LOCALLY SECTIONABLE MAPS

G. Janelidze, Ronald Brown, G. Peschke, 2021 .

Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties

P. J. Higgins, Ronald Brown, S. Morris, 1975, Mathematical Proceedings of the Cambridge Philosophical Society.