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25 Remote Warehouse Mathematics- Applied

This title in other editions

Cellular Structures in Topology

by

Cellular Structures in Topology Cover

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

1. The fundamental properties of CW-complexes; 2. Categories of CW-complexes; 3. Polyhedra and simplicial complexes; 4. Simplicial sets; 5. Spaces of the homotopy type of a CW-complex; Appendixes.

Product Details

ISBN:
9780521063876
Author:
Fritsch, Rudolf
Publisher:
Cambridge University Press
Author:
Piccinini, Renzo A.
Author:
Piccinini, Renzo
Location:
Cambridge
Subject:
Applied
Subject:
Topology - General
Subject:
Mathematics-Applied
Subject:
Topology
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
19
Publication Date:
20080231
Binding:
TRADE PAPER
Language:
English
Pages:
340
Dimensions:
5.98x9.01x.75 in. 1.10 lbs.

Related Subjects

History and Social Science » Economics » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Topology

Cellular Structures in Topology New Trade Paper
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