Cellular Structures in Topology
£60.99
Part of Cambridge Studies in Advanced Mathematics
- Authors:
- Rudolf Fritsch, Ludwig-Maximilians-Universität Munchen
- Renzo Piccinini, Memorial University of Newfoundland
- Date Published: June 2008
- availability: Available
- format: Paperback
- isbn: 9780521063876
£
60.99
Paperback
Other available formats:
Hardback
Looking for an inspection copy?
This title is not currently available on inspection
-
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.
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: June 2008
- format: Paperback
- isbn: 9780521063876
- length: 340 pages
- dimensions: 230 x 152 x 19 mm
- weight: 0.5kg
- availability: Available
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.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×