Cellular structures in topology
Author(s)
Bibliographic Information
Cellular structures in topology
（Cambridge studies in advanced mathematics, 19）
Cambridge University Press, 1990
Available at / 62 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
S||CSAM||19200021325000
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:514/F9182070167332
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Note
"Transferred to digital printing 2002"--T.p. verso of 2002 printing
Bibliography: p. [306]-311
Includes index
Description and Table of Contents
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.
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.
by "Nielsen BookData"