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Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume
Marco Moraschini
:
Universität Regensburg, Regensburg, Bavaria and Università di Bologna, Bologna, Italy
| Softcover ISBN: | 978-1-4704-5991-8 |
| Product Code: | MEMO/283/1402 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7403-4 |
| Product Code: | MEMO/283/1402.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5991-8 |
| eBook: ISBN: | 978-1-4704-7403-4 |
| Product Code: | MEMO/283/1402.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume
Marco Moraschini
:
Universität Regensburg, Regensburg, Bavaria and Università di Bologna, Bologna, Italy
| Softcover ISBN: | 978-1-4704-5991-8 |
| Product Code: | MEMO/283/1402 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7403-4 |
| Product Code: | MEMO/283/1402.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5991-8 |
| eBook ISBN: | 978-1-4704-7403-4 |
| Product Code: | MEMO/283/1402.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 283; 2023; 153 ppMSC: Primary 55; 57; Secondary 20; 43; 53
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Table of Contents
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Chapters
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Introduction
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1. The General Theory of Multicomplexes
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1. Multicomplexes
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2. The Singular Multicomplex
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3. The Homotopy Theory of Complete Multicomplexes
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2. Multicomplexes, Bounded Cohomology and Simplicial Volume
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4. Bounded Cohomology of Multicomplexes
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5. The Mapping Theorem
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6. The Vanishing Theorem
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3. The Simplicial Volume of Open Manifolds
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7. Finiteness and Vanishing Theorems for Locally Finite Homology
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8. Diffusion of Chains
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9. Admissible Submulticomplexes of $\mathcal {K}(X)$
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10. Diffusion of Locally Finite Chains on the Admissible Multicomplex
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11. Some Results on the Simplicial Volume of Open Manifolds
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 283; 2023; 153 pp
MSC: Primary 55; 57; Secondary 20; 43; 53
-
Chapters
-
Introduction
-
1. The General Theory of Multicomplexes
-
1. Multicomplexes
-
2. The Singular Multicomplex
-
3. The Homotopy Theory of Complete Multicomplexes
-
2. Multicomplexes, Bounded Cohomology and Simplicial Volume
-
4. Bounded Cohomology of Multicomplexes
-
5. The Mapping Theorem
-
6. The Vanishing Theorem
-
3. The Simplicial Volume of Open Manifolds
-
7. Finiteness and Vanishing Theorems for Locally Finite Homology
-
8. Diffusion of Chains
-
9. Admissible Submulticomplexes of $\mathcal {K}(X)$
-
10. Diffusion of Locally Finite Chains on the Admissible Multicomplex
-
11. Some Results on the Simplicial Volume of Open Manifolds
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.