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Lectures on Coarse Geometry
Language: en
Pages: 184
Authors: John Roe
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

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Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great dista
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.
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
Lectures on Formal and Rigid Geometry
Language: en
Pages: 255
Authors: Siegfried Bosch
Categories: Mathematics
Type: BOOK - Published: 2014-08-22 - Publisher: Springer

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The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, t
A Course in Metric Geometry
Language: en
Pages: 431
Authors: Dmitri Burago
Categories: Mathematics
Type: BOOK - Published: 2022-01-27 - Publisher: American Mathematical Society

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“Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the