AMS Bookstore LOGO
 
Return to List

Topology of Manifolds
R. L. Wilder
SEARCH THIS BOOK:

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
[Add Item]

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

  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement