WorldCat Identities

Bridson, Martin R. 1964-

Overview
Works: 26 works in 97 publications in 3 languages and 2,432 library holdings
Genres: Conference papers and proceedings  Academic theses 
Roles: Author, Editor, Other, htt, Opponent, Thesis advisor
Classifications: QA611.28, 514.32
Publication Timeline
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Most widely held works by Martin R Bridson
Geometric and Cohomological Methods in Group Theory by Martin R Bridson( )

3 editions published in 2009 in English and held by 769 WorldCat member libraries worldwide

An extended tour through a selection of the most important trends in modern geometric group theory
Metric spaces of non-positive curvature by Martin R Bridson( Book )

24 editions published between 1999 and 2011 in English and German and held by 553 WorldCat member libraries worldwide

Describes the global properties of simply-connected spaces that are non-positively curved in the sense of AD Alexandrov, and the structure of groups, which act on such spaces by isometries. This book is divided into three parts, each part is divided into chapters and the chapters have various subheadings
Invitations to geometry and topology( Book )

10 editions published between 2002 and 2011 in English and held by 361 WorldCat member libraries worldwide

"This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing."--Jacket
Geometric and cohomological methods in group theory by London Mathematical Society Symposium on Geometry and Cohomology in Group Theory( Book )

14 editions published in 2009 in English and held by 263 WorldCat member libraries worldwide

"Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory." "This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L[superscript 2]-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting."--Jacket
The quadratic isoperimetric inequality for mapping tori of free group automorphisms by Martin R Bridson( Book )

15 editions published between 2009 and 2010 in English and held by 251 WorldCat member libraries worldwide

Lectures on geometry by E Witten( )

8 editions published between 2016 and 2017 in English and held by 203 WorldCat member libraries worldwide

This book contains a series of chapters by leading mathematicians on active are as of current research in geometry. Although not explicitly linked, the topics have a common flavor and appeal to anyone interested in recent developments in geometry. Taking the form of five chapters derived from lectures given at Clay Mathematics Institute events by leaders in the field, this book is intended to be accessible to all who work in this general area, regardless of their own particular research interests. Book jacket
Metric Spaces of Non-Positive Curvature by Martin R Bridson( )

in English and held by 6 WorldCat member libraries worldwide

Semihyperbolic groups by Juan M Alonso( Book )

3 editions published in 1992 in English and held by 5 WorldCat member libraries worldwide

Formal language theory and the geometry of 3-manifolds by Martin R Bridson( Book )

2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide

The torsion-free rank of homology in towers of soluble pro-p groups by Martin R Bridson( )

1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide

Volume gradients and homology in towers of residually-free groups by Martin R Bridson( )

1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide

Determining Fuchsian groups by their finite quotients by Martin R Bridson( )

1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide

The rhombic dodecahedron and semisimple actions of AUT(Fn) on CAT(0) spaces by Martin R Bridson( )

1 edition published in 2011 in English and held by 1 WorldCat member library worldwide

Mapping class groups and outer automorphism groups of free groups are C*-simple by Martin R Bridson( )

1 edition published in 2004 in English and held by 1 WorldCat member library worldwide

Généralisation d'une méthode de petites simplifications due à Mikhaïl Gromov et Yann Ollivier en géométrie des groupes by Rémi Cuneo( )

1 edition published in 2011 in French and held by 1 WorldCat member library worldwide

In a paper published in 2003, M.Gromov proposes a rewording of the small cancellation theory in geometric group theory. In this version, a finite graph defines a finitely presented group; generators of the group are the labels of the graph; relators are the words associated with cycles; pieces, "short" words which allow small cancellations in a group, are words which label two distinct paths in the graph.Our thesis relies on a brief description of this theory published in2006 by Y.Ollivier. The concept of finitely presented "small cancellation" group, developed by R.Lyndon, M.Greendlinger and others in the 60's and 70's, is a precursor of Gromovword-hyperbolic groups in the late of the 80's, for which combinatorial properties of the presentation imply algebraic properties of the group. In our work, we build a rigorous small cancellation theory in terms of graphs, and develop the basic concept of "megatiles", implicitly used by Y. Ollivier in his article. We extend his results to non-hyperbolic and non-metric cases (eg. $C(4)-T(4)$). This point of view allows a new proof, more natural, of thesolvability of word and conjugacy problems for presentations of prime alternating link groups. We also extend the results of a M.Greendlinger theorem to thenon-metric case, in response to a question of I. Kapovich
Encoding and detecting properties in finitely presented groups by Giles Gardam( )

1 edition published in 2017 in English and held by 1 WorldCat member library worldwide

Finiteness properties of fibre products by Benno Kuckuck( )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

Constructions in stable commutator length and bounded cohomology by Nicolaus Heuer( )

1 edition published in 2019 in English and held by 1 WorldCat member library worldwide

Word fibres in finite p-groups and pro-p groups by Ainhoa Iniguez-Goizueta( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

Finiteness properties and CAT(0) groups by Robert Kropholler( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

 
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Audience level: 0.46 (from 0.06 for Determinin ... to 0.99 for Geometric ...)

Metric spaces of non-positive curvature
Covers
Invitations to geometry and topologyGeometric and cohomological methods in group theoryThe quadratic isoperimetric inequality for mapping tori of free group automorphisms
Alternative Names
Bridson, M. R.

Bridson, Martin 1964-...

Martin Bridson britischer Mathematiker

Martin Bridson British mathematician

Martin Bridson Brits wiskundige

Martin Bridson matamaiticeoir Manannach

Martin Bridson matemàtic britànic

Martin Bridson matemático británico

Martin Bridson matematico britannico nativo di Man

Martin Bridson matematikan britanik

Martin Bridson mathématicien britannique

מרטין ברידסון מתמטיקאי בריטי

مارتن بريدسون رياضياتي بريطاني

Languages
English (88)

German (2)

French (1)