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Coarse Geometry of Topological Groups
Language: en
Pages: 309
Authors: Christian Rosendal
Categories: Mathematics
Type: BOOK - Published: 2021-12-16 - Publisher: Cambridge University Press

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Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.
Topological Groups
Language: en
Pages: 160
Authors: Sidney A. Morris
Categories: Mathematics
Type: BOOK - Published: 2019-03-05 - Publisher: MDPI

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Following the tremendous reception of our first volume on topological groups called "Topological Groups: Yesterday, Today, and Tomorrow", we now present our sec
Metric Geometry of Locally Compact Groups
Language: en
Pages: 248
Authors: Yves Cornulier
Categories: Mathematics
Type: BOOK - Published: 2016 - Publisher: European Mathematical Society

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The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on th
An Invitation to Coarse Groups
Language: en
Pages: 249
Authors: Arielle Leitner
Categories: Mathematics
Type: BOOK - Published: 2024-01-13 - Publisher: Springer Nature

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This book lays the foundation for a theory of coarse groups: namely, sets with operations that satisfy the group axioms “up to uniformly bounded error”. The
Coarse Geometry and Randomness
Language: en
Pages: 133
Authors: Itai Benjamini
Categories: Mathematics
Type: BOOK - Published: 2013-12-02 - Publisher: Springer

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These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concepts, before