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The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
| Softcover ISBN: | 978-1-4704-6696-1 |
| Product Code: | MEMO/290/1443 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7629-8 |
| Product Code: | MEMO/290/1443.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6696-1 |
| eBook: ISBN: | 978-1-4704-7629-8 |
| Product Code: | MEMO/290/1443.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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The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
| Softcover ISBN: | 978-1-4704-6696-1 |
| Product Code: | MEMO/290/1443 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7629-8 |
| Product Code: | MEMO/290/1443.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6696-1 |
| eBook ISBN: | 978-1-4704-7629-8 |
| Product Code: | MEMO/290/1443.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: 290; 2023; 111 ppMSC: Primary 53; 49
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Table of Contents
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Chapters
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Introduction and Main Results at a Glance
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1. The Metric Space $(\mathbb {X}_p, \Delta \!\!\!\!\Delta _p)$
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2. The Topology of $(\mathbb {X}_p, \Delta \!\!\!\!\Delta _p)$
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3. Geodesics in $(\mathbb {X}_p, \Delta \!\!\!\!\Delta _p)$
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4. Cone Structure and Curvature Bounds for $(\mathbb {X}, \Delta \!\!\!\!\Delta )$
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5. The Space $\mathbb {Y}$ of Gauged Measure Spaces
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6. The Space $\mathbb {Y}$ as a Riemannian Orbifold
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7. Semiconvex Functions on $\mathbb {Y}$ and their Gradients
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8. The $\mathcal {F}$-Functional
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9. Addendum: The $L^{p,q}$-Distortion Distance
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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: 290; 2023; 111 pp
MSC: Primary 53; 49
-
Chapters
-
Introduction and Main Results at a Glance
-
1. The Metric Space $(\mathbb {X}_p, \Delta \!\!\!\!\Delta _p)$
-
2. The Topology of $(\mathbb {X}_p, \Delta \!\!\!\!\Delta _p)$
-
3. Geodesics in $(\mathbb {X}_p, \Delta \!\!\!\!\Delta _p)$
-
4. Cone Structure and Curvature Bounds for $(\mathbb {X}, \Delta \!\!\!\!\Delta )$
-
5. The Space $\mathbb {Y}$ of Gauged Measure Spaces
-
6. The Space $\mathbb {Y}$ as a Riemannian Orbifold
-
7. Semiconvex Functions on $\mathbb {Y}$ and their Gradients
-
8. The $\mathcal {F}$-Functional
-
9. Addendum: The $L^{p,q}$-Distortion Distance
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.