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On PL DeRham Theory and Rational Homotopy Type
Available Formats:
Electronic ISBN: 978-1-4704-0826-8
Product Code: MEMO/8/179.E
List Price: $25.00
MAA Member Price: $22.50
AMS Member Price: $15.00
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On PL DeRham Theory and Rational Homotopy Type
Available Formats:
| Electronic ISBN: | 978-1-4704-0826-8 |
| Product Code: | MEMO/8/179.E |
| List Price: | $25.00 |
| MAA Member Price: | $22.50 |
| AMS Member Price: | $15.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 8; 1976; 94 ppMSC: Primary 55; Secondary 58;
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Table of Contents
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Chapters
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1. The simplicial algebra $v$
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2. The polynomial de Rham theory
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3. Multiplicative structure and the Eilenberg-Moore theorem
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4. A Quillen homotopy theory for DG algebras
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5. Function spaces for DG algebras
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6. The homotopy relation for DG algebras
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7. Minimal DG algebras
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8. The de Rham functors and their adjoints
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9. The Sullivan-de Rham equivalence theorem
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10. Proof of the Sullivan-de Rham equivalence theorem
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11. The Sullivan-de Rham localization and homotopy theorems
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12. Extensions of the Sullivan-de Rham theorems
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Appendix
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13. Polynomial de Rham theory for simplicial complexes
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14. Another proof of 2.2
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15. Sullivan homotopies are homotopic in DASH
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16. Minimal algebras for spaces with \lq\lq{nice}\rq\rq cohomology
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
1. The simplicial algebra $v$
-
2. The polynomial de Rham theory
-
3. Multiplicative structure and the Eilenberg-Moore theorem
-
4. A Quillen homotopy theory for DG algebras
-
5. Function spaces for DG algebras
-
6. The homotopy relation for DG algebras
-
7. Minimal DG algebras
-
8. The de Rham functors and their adjoints
-
9. The Sullivan-de Rham equivalence theorem
-
10. Proof of the Sullivan-de Rham equivalence theorem
-
11. The Sullivan-de Rham localization and homotopy theorems
-
12. Extensions of the Sullivan-de Rham theorems
-
Appendix
-
13. Polynomial de Rham theory for simplicial complexes
-
14. Another proof of 2.2
-
15. Sullivan homotopies are homotopic in DASH
-
16. Minimal algebras for spaces with \lq\lq{nice}\rq\rq cohomology
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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