Cellular Structures in Topology by Rudolf Fritsch
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Cellular Structures in Topology
By Rudolf Fritsch

Cellular Structures in Topology

By (author) See other recent books by Rudolf Fritsch See other recent books by Renzo A. Piccinini
Edited by W. Fulton See other recent books by W. Fulton
Format: Hardback

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Cellular Structures in Topology by Rudolf Fritsch

Book Description

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.

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Book Details

ISBN: 9780521327848
ISBN-10: 0521327849
Format: Hardback
(228mm x 152mm x 22mm)
Pages: 340
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Sep-1990
Country of Publication: United Kingdom

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Books By Author Rudolf Fritsch

Cellular Structures in Topology by Rudolf Fritsch Cellular Structures in Topology, Paperback (June 2008)

This book describes the construction and the properties of CW-complexes.

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