
Cellular Structures in Topology
Cambridge University Press
Published on 5. June 2008
Book
Paperback/Softback
340 pages
978-0-521-06387-6 (ISBN)
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 20 mm
Weight
553 gr
ISBN-13
978-0-521-06387-6 (9780521063876)
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Schweitzer Classification
Other editions
Additional editions

Rudolf Fritsch | Renzo Piccinini
Cellular Structures in Topology
E-Book
09/1990
1st Edition
Cambridge University Press
€67.99
Available for download

Rudolf Fritsch | Renzo Piccinini
Cellular Structures in Topology
Book
09/1990
Cambridge University Press
€114.50
Shipment within 15-20 days
Persons
Author
Ludwig-Maximilians-Universitaet Munchen
Memorial University of Newfoundland
Content
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.