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On PL DeRham Theory and Rational Homotopy Type
Available Formats:
Electronic ISBN: 9781470408268
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:  9781470408268 
Product Code:  MEMO/8/179.E 
List Price:  $25.00 
MAA Member Price:  $22.50 
AMS Member Price:  $15.00 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 8; 1976; 94 ppMSC: Primary 55; Secondary 58;

Table of Contents

Chapters

1. The simplicial algebra $v$

2. The polynomial de Rham theory

3. Multiplicative structure and the EilenbergMoore 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 Sullivande Rham equivalence theorem

10. Proof of the Sullivande Rham equivalence theorem

11. The Sullivande Rham localization and homotopy theorems

12. Extensions of the Sullivande 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


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Chapters

1. The simplicial algebra $v$

2. The polynomial de Rham theory

3. Multiplicative structure and the EilenbergMoore 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 Sullivande Rham equivalence theorem

10. Proof of the Sullivande Rham equivalence theorem

11. The Sullivande Rham localization and homotopy theorems

12. Extensions of the Sullivande 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
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