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$70 Member Price: US$56 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
|