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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 |
Click above image for expanded view
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 |
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Book DetailsColloquium PublicationsVolume: 32; 1949; 403 ppMSC: Primary 57
This book is a standard in this area of mathematics and is invaluable for historical background.
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Table of Contents
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Chapters
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Chapter 1. Elementary concepts; characterizations of $\overline E^1$ and $S^1$
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Chapter 2. Locally connected spaces; fundamental properties of the euclidean $n$-sphere
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Chapter 3. Peano spaces; characterizations of $S^2$ and the 2-manifolds
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Chapter 4. Non-metric $LC$ spaces, with applications to subsets of the 2-sphere
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Chapter 5. Basic algebraic topology
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Chapter 6. Local connectedness and local co-connectedness
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Chapter 7. Application of homology and cohomology theory to the theory of continua
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Chapter 8. Generalized manifolds; dualities of the Poincaré and Alexander type
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Chapter 9. Further properties of $n$-GMS; regular manifolds and generalized $n$-cells
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Chapter 10. Submanifolds of a manifold; decomposition into cells
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Chapter 11. $Lc^k$ subsets of an $n$-GM
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Chapter 12. Accessibility and its applications
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Appendix. Some unsolved problems
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
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Volume: 32; 1949; 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.