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Characterization and Topological Rigidity of Nöbeling Manifolds
| eBook ISBN: | 978-0-8218-9872-7 |
| Product Code: | MEMO/223/1048.E |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $41.40 |
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Characterization and Topological Rigidity of Nöbeling Manifolds
| eBook ISBN: | 978-0-8218-9872-7 |
| Product Code: | MEMO/223/1048.E |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $41.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 223; 2013; 92 ppMSC: Primary 54
The author develops a theory of Nöbeling manifolds similar to the theory of Hilbert space manifolds. He shows that it reflects the theory of Menger manifolds developed by M. Bestvina and is its counterpart in the realm of complete spaces. In particular the author proves the Nöbeling manifold characterization conjecture.
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Table of Contents
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1. Introduction and preliminaries
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1. Introduction
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2. Preliminaries
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2. Reducing the proof of the main results to the construction of $n$-regular and $n$-semiregular ${\mathcal {N}_{n}}$-covers
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3. Approximation within an $\mathcal {N}_{n}$-cover
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4. Constructing closed $\mathcal {N}_{n}$-covers
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5. Carrier and nerve theorems
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6. Anticanonical maps and semiregularity
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7. Extending homeomorphisms by the use of a “brick partitionings” technique
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8. Proof of the main results
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3. Constructing $n$-semiregular and $n$-regular ${\mathcal {N}_{n}}$-covers
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9. Basic constructions in $\mathcal {N}_{n}$-spaces
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10. Core of a cover
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11. Proof of theorem
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Volume: 223; 2013; 92 pp
MSC: Primary 54
The author develops a theory of Nöbeling manifolds similar to the theory of Hilbert space manifolds. He shows that it reflects the theory of Menger manifolds developed by M. Bestvina and is its counterpart in the realm of complete spaces. In particular the author proves the Nöbeling manifold characterization conjecture.
-
1. Introduction and preliminaries
-
1. Introduction
-
2. Preliminaries
-
2. Reducing the proof of the main results to the construction of $n$-regular and $n$-semiregular ${\mathcal {N}_{n}}$-covers
-
3. Approximation within an $\mathcal {N}_{n}$-cover
-
4. Constructing closed $\mathcal {N}_{n}$-covers
-
5. Carrier and nerve theorems
-
6. Anticanonical maps and semiregularity
-
7. Extending homeomorphisms by the use of a “brick partitionings” technique
-
8. Proof of the main results
-
3. Constructing $n$-semiregular and $n$-regular ${\mathcal {N}_{n}}$-covers
-
9. Basic constructions in $\mathcal {N}_{n}$-spaces
-
10. Core of a cover
-
11. Proof of theorem
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
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