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Mathematics Cellular Structures in Topology

Posted on 2010-04-13




Name:Mathematics Cellular Structures in Topology
ASIN/ISBN:0521327849
Language:English
File size:3.05 Mb
Publisher: Cambridge University Press
ISBN: 0521327849
Publish Date: edition 1990
Pages: 340 pages
File Size: 3,05 mb
Other Info: DJVU
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Cellular Structures in Topology

This is the only up-to-date book describing 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 recent 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 specialised workers in algebraic topology and homotopy theory.

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