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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 Click above image for expanded view 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
• Book Details

Memoirs of the American Mathematical Society
Volume: 81976; 94 pp
MSC: Primary 55; Secondary 58;

• 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
• Requests

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
Volume: 81976; 94 pp
MSC: Primary 55; Secondary 58;
• 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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