Cellular Structures in Topology

English

Series: Cambridge Studies in Advanced Mathematics

Volume: No.19

ISBN: 0521327849

EAN: 9780521327848

Category: Mathematics / Topology

Publisher: Cambridge University Press

Release Date: 06/30/2002

Synopsis: 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 Milnors 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.

Excerpt: Unknown Property Excerpt

Cellular Structures in Topology

Illustrated: Yes

Format: Hardcover

Height: 0.87 inches

Width: 5.98 inches

Length: 8.98 inches

Weight: 23.74 oz

Pages: 340