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
.
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
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 nonpositive 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 simplyconnected spaces that are nonpositively 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
24 editions published between 1999 and 2011 in English and German and held by 553 WorldCat member libraries worldwide
Describes the global properties of simplyconnected spaces that are nonpositively 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
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 largescale 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, quasiisometric rigidity, nonpositive 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
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 largescale 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, quasiisometric rigidity, nonpositive 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
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
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 NonPositive Curvature by
Martin R Bridson(
)
in English and held by 6 WorldCat member libraries worldwide
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
3 editions published in 1992 in English and held by 5 WorldCat member libraries worldwide
Formal language theory and the geometry of 3manifolds by
Martin R Bridson(
Book
)
2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
The torsionfree rank of homology in towers of soluble prop groups by
Martin R Bridson(
)
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
Volume gradients and homology in towers of residuallyfree groups by
Martin R Bridson(
)
1 edition published in 2016 in English and held by 2 WorldCat member libraries worldwide
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
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
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
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 Gromovwordhyperbolic 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 nonhyperbolic and nonmetric 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 thenonmetric case, in response to a question of I. Kapovich
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 Gromovwordhyperbolic 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 nonhyperbolic and nonmetric 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 thenonmetric 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
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
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
1 edition published in 2019 in English and held by 1 WorldCat member library worldwide
Word fibres in finite pgroups and prop groups by Ainhoa IniguezGoizueta(
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
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
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Kropholler, Peter H. Editor
 Leary, Ian J. Editor
 Haefliger, André
 Salamon, Simon Editor
 Groves, Daniel 1974 Thesis advisor
 Hofer, Helmut 1956 Other
 Lackenby, Marc Other
 Witten, E. Other Author
 Woodhouse, N. M. J. (Nicholas Michael John) 1949 Editor
 Pandharipande, Rahul
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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
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