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On $PL$ de Rham theory and rational homotopy type
About this Title
A. K. Bousfield and V. K. A. M. Gugenheim
Publication: Memoirs of the American Mathematical Society
Publication Year:
1976; Volume 8, Number 179
ISBNs: 978-0-8218-2179-4 (print); 978-1-4704-0826-8 (online)
DOI: https://doi.org/10.1090/memo/0179
MathSciNet review: 0425956
Table of Contents
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