Cellular Structures in Topology

Cellular Structures in Topology

by Rudolf Fritsch, Renzo Piccinini
     
 

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ISBN-10: 0521063876

ISBN-13: 9780521063876

Pub. Date: 06/05/2008

Publisher: Cambridge University Press

The authors describe the construction and properties of CW-complexes. These spaces are important because they are the correct framework for homotopy theory, and most spaces that arise in pure mathematics are of this type. They discuss the foundations and also recent developments such as the theory of finite CW-complexes, CW-complexes in relation to the theory of

Overview

The authors describe the construction and properties of CW-complexes. These spaces are important because they are the correct framework for homotopy theory, and most spaces that arise in pure mathematics are of this type. They discuss the foundations and also recent developments such as 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. The text clearly establishes the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises accompany each chapter ending with a section that sketches the historical development. An appendix gives basic results from topology, homology and homotopy theory.

Product Details

ISBN-13:
9780521063876
Publisher:
Cambridge University Press
Publication date:
06/05/2008
Series:
Cambridge Studies in Advanced Mathematics Series, #19
Pages:
340
Product dimensions:
6.00(w) x 8.90(h) x 1.00(d)

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.

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