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The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
Softcover ISBN:  9781470466961 
Product Code:  MEMO/290/1443 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
eBook ISBN:  9781470476298 
Product Code:  MEMO/290/1443.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Softcover ISBN:  9781470466961 
eBook: ISBN:  9781470476298 
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:  9781470466961 
Product Code:  MEMO/290/1443 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
eBook ISBN:  9781470476298 
Product Code:  MEMO/290/1443.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Softcover ISBN:  9781470466961 
eBook ISBN:  9781470476298 
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 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 290; 2023; 111 ppMSC: Primary 53; 49

Table of Contents

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


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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
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