Name: Cellular Structures in Topology (Cambridge Studies in Advanced Mathematics) (en Inglés)
Price: 96480.00 CLP
Availability: InStock
Author: Rudolf Fritsch
ISBN: 9780521063876

portada Cellular Structures in Topology (Cambridge Studies in Advanced Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Rudolf Fritsch

Año

2008

Idioma

Inglés

N° páginas

340

Encuadernación

Tapa Blanda

ISBN

0521063876

ISBN13

9780521063876

N° edición

Categorías

Matemáticas aplicadas

Cellular Structures in Topology (Cambridge Studies in Advanced Mathematics) (en Inglés)

Rudolf Fritsch (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Cellular Structures in Topology (Cambridge Studies in Advanced Mathematics) (en Inglés)"

This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a non-trivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory.