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Topology of Manifolds
R. L. Wilder
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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
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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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