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Cellular Structures in Topology : Cambridge Studies in Advanced Mathematics - Rudolf Fritsch

Cellular Structures in Topology

Cambridge Studies in Advanced Mathematics

By: Rudolf Fritsch, Renzo A. Piccinini, W. Fulton (Editor), F. Kirwan (Editor), B. Bollobas (Editor)

Hardcover

Published: 28th September 1990
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Published: 27th September 1990
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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.

The fundamental properties of CW-complexes
Categories of CW-complexes
Polyhedra and simplicial complexes
Simplicial sets
Spaces of the homotopy type of a CW-complex
Appendixes
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521327848
ISBN-10: 0521327849
Series: Cambridge Studies in Advanced Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 340
Published: 28th September 1990
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.2
Weight (kg): 0.67