This book describes the construction and the properties of CWcomplexes. 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 CWcomplexes, CWcomplexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CWcomplexes. They establish very clearly the relationship between CWcomplexes 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 nontrivial 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.
About Rudolf Fritsch
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Author  :  Rudolf Fritsch 
Publisher  :  Cambridge University Press 
Data Published  :  27 September 1990 
ISBN  :  0521327849 
EAN  :  9780521327848 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  340 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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