Colloquium Publications 1949; 403 pp; softcover Volume: 32 Reprint/Revision History: fourth printing with corrections 1979; seventh printing 2000 ISBN-10: 0-8218-1032-4 ISBN-13: 978-0-8218-1032-3 List Price: US$74 Member Price: US$59.20 Order Code: COLL/32
| This book is a standard in this area of mathematics and is invaluable for historical background. Table of Contents - Elementary concepts; characterizations of \(\overline E^1\) and \(S^1\)
- Locally connected spaces; fundamental properties of the euclidean \(n\)-sphere
- Peano spaces; characterizations of \(S^2\) and the 2-manifolds
- Non-metric \(LC\) spaces, with applications to subsets of the 2-sphere
- Basic algebraic topology
- Local connectedness and local co-connectedness
- Application of homology and cohomology theory to the theory of continua
- Generalized manifolds; dualities of the Poincar\'e and Alexander type
- Further properties of \(n\)-GMS; regular manifolds and generalized \(n\)-cells
- Submanifolds of a manifold; decomposition into cells
- \(Lc^k\) subsets of an \(n\)-GM
- Accessibility and its applications
- endix. Some unsolved problems
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