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Coarse Geometry Of Topological Groups New Christian Rosendal

Name: Coarse Geometry Of Topological Groups New Christian Rosendal
SKU: BELL-40667026
Price: 31.00 USD
Availability: InStock
Rating: 4.25 (18 reviews)

SKU: BELL-40667026

$ 31.00 ~~$ 45.00~~ (-31%)

4.3

18 reviews

Coarse Geometry Of Topological Groups New Christian Rosendal instant download after payment.

Publisher: Cambridge University Press

File Extension: PDF

File size: 1.88 MB

Pages: 200

Author: Christian Rosendal

ISBN: 9781108842471, 110884247X

Language: English

Year: 2021

Edition: New

Product desciption

Coarse Geometry Of Topological Groups New Christian Rosendal by Christian Rosendal 9781108842471, 110884247X instant download after payment.

This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of separable metric spaces and automorphism groups of countable structures. Using Roe's framework of coarse structures and spaces, the author defines a natural coarse geometric structure on all topological groups. This structure is accessible to investigation, especially in the case of Polish groups, and often has an explicit description, generalising well-known structures in familiar cases including finitely generated discrete groups, compactly generated locally compact groups and Banach spaces. In most cases, the coarse geometric structure is metrisable and may even be refined to a canonical quasimetric structure on the group. The book contains many worked examples and sufficient introductory material to be accessible to beginning graduate students. An appendix outlines several open problems in this young and rich theory.