Name: Coarse Geometry of Topological Groups: 223 (Cambridge Tracts in Mathematics, Series Number 223) (en Inglés)
SKU: 53849397
Price: 168230.00 CLP
Availability: InStock
Author: Rosendal, Christian
ISBN: 9781108842471

portada Coarse Geometry of Topological Groups: 223 (Cambridge Tracts in Mathematics, Series Number 223) (en Inglés)

Coarse Geometry of Topological Groups: 223 (Cambridge Tracts in Mathematics, Series Number 223) (en Inglés)

Formato

Libro Físico

Autor

Christian Rosendal

Editorial

Cambridge University Press

Año

2021

Idioma

Inglés

N° páginas

200

Encuadernación

Tapa Dura

Dimensiones

22.9x15.2x2.1 cm

Peso

0.62 kg.

ISBN13

9781108842471

Categorías

Álgebra
Topología

Coarse Geometry of Topological Groups: 223 (Cambridge Tracts in Mathematics, Series Number 223) (en Inglés)

Christian Rosendal (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Coarse Geometry of Topological Groups: 223 (Cambridge Tracts in Mathematics, Series Number 223) (en Inglés)"

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.