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Smooth Homotopy of Infinite-Dimensional $C^{\infty}$-Manifolds
| Softcover ISBN: | 978-1-4704-6542-1 |
| Product Code: | MEMO/289/1436 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7591-8 |
| Product Code: | MEMO/289/1436.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6542-1 |
| eBook: ISBN: | 978-1-4704-7591-8 |
| Product Code: | MEMO/289/1436.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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Smooth Homotopy of Infinite-Dimensional $C^{\infty}$-Manifolds
| Softcover ISBN: | 978-1-4704-6542-1 |
| Product Code: | MEMO/289/1436 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7591-8 |
| Product Code: | MEMO/289/1436.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6542-1 |
| eBook ISBN: | 978-1-4704-7591-8 |
| Product Code: | MEMO/289/1436.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: 289; 2023; 129 ppMSC: Primary 58; Secondary 18
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Table of Contents
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Chapters
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1. Introduction
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2. Diffeological spaces, arc-generated spaces, and $C^{\infty }$-manifolds
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3. Quillen equivalences between ${\mathcal {S}}$, ${\mathcal {D}}$, and ${\mathcal {C}^0}$
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4. Smoothing of continuous maps
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5. Smoothing of continuous principal bundles
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6. Smoothing of continuous sections
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7. Dwyer-Kan equivalence between $(\mathsf {P}{\mathcal {D}}G / X)_{\mathrm {num}}$ and $(\mathsf {P}{\mathcal {C}^0}\widetilde {G} / \widetilde {X})_{\mathrm {num}}$
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8. Diffeological polyhedra
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9. Homotopy cofibrancy theorem
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10. Locally contractible diffeological spaces
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11. Applications to $C^{\infty }$-manifolds
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A. Pathological diffeological spaces
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B. Keller’s $C^{\infty }_{c}$-theory and diffeological spaces
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C. Smooth regularity and smooth paracompactness
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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: 289; 2023; 129 pp
MSC: Primary 58; Secondary 18
-
Chapters
-
1. Introduction
-
2. Diffeological spaces, arc-generated spaces, and $C^{\infty }$-manifolds
-
3. Quillen equivalences between ${\mathcal {S}}$, ${\mathcal {D}}$, and ${\mathcal {C}^0}$
-
4. Smoothing of continuous maps
-
5. Smoothing of continuous principal bundles
-
6. Smoothing of continuous sections
-
7. Dwyer-Kan equivalence between $(\mathsf {P}{\mathcal {D}}G / X)_{\mathrm {num}}$ and $(\mathsf {P}{\mathcal {C}^0}\widetilde {G} / \widetilde {X})_{\mathrm {num}}$
-
8. Diffeological polyhedra
-
9. Homotopy cofibrancy theorem
-
10. Locally contractible diffeological spaces
-
11. Applications to $C^{\infty }$-manifolds
-
A. Pathological diffeological spaces
-
B. Keller’s $C^{\infty }_{c}$-theory and diffeological spaces
-
C. Smooth regularity and smooth paracompactness
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.