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Topology of Manifolds
 
Topology of Manifolds
eBook ISBN:  978-1-4704-3178-5
Product Code:  COLL/32.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
Topology of Manifolds
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Topology of Manifolds
eBook ISBN:  978-1-4704-3178-5
Product Code:  COLL/32.E
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
  • Book Details
     
     
    Colloquium Publications
    Volume: 321949; 403 pp
    MSC: Primary 57;

    This book is a standard in this area of mathematics and is invaluable for historical background.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Elementary concepts; characterizations of $\overline E^1$ and $S^1$
    • Chapter 2. Locally connected spaces; fundamental properties of the euclidean $n$-sphere
    • Chapter 3. Peano spaces; characterizations of $S^2$ and the 2-manifolds
    • Chapter 4. Non-metric $LC$ spaces, with applications to subsets of the 2-sphere
    • Chapter 5. Basic algebraic topology
    • Chapter 6. Local connectedness and local co-connectedness
    • Chapter 7. Application of homology and cohomology theory to the theory of continua
    • Chapter 8. Generalized manifolds; dualities of the Poincaré and Alexander type
    • Chapter 9. Further properties of $n$-GMS; regular manifolds and generalized $n$-cells
    • Chapter 10. Submanifolds of a manifold; decomposition into cells
    • Chapter 11. $Lc^k$ subsets of an $n$-GM
    • Chapter 12. Accessibility and its applications
    • Appendix. Some unsolved problems
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 321949; 403 pp
MSC: Primary 57;

This book is a standard in this area of mathematics and is invaluable for historical background.

  • Chapters
  • Chapter 1. Elementary concepts; characterizations of $\overline E^1$ and $S^1$
  • Chapter 2. Locally connected spaces; fundamental properties of the euclidean $n$-sphere
  • Chapter 3. Peano spaces; characterizations of $S^2$ and the 2-manifolds
  • Chapter 4. Non-metric $LC$ spaces, with applications to subsets of the 2-sphere
  • Chapter 5. Basic algebraic topology
  • Chapter 6. Local connectedness and local co-connectedness
  • Chapter 7. Application of homology and cohomology theory to the theory of continua
  • Chapter 8. Generalized manifolds; dualities of the Poincaré and Alexander type
  • Chapter 9. Further properties of $n$-GMS; regular manifolds and generalized $n$-cells
  • Chapter 10. Submanifolds of a manifold; decomposition into cells
  • Chapter 11. $Lc^k$ subsets of an $n$-GM
  • Chapter 12. Accessibility and its applications
  • Appendix. Some unsolved problems
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.