On PL de Rham theory and rational homotopy type / [electronic resource] A. K. Bousfield and V. K. A. M. Gugenheim.

By: Bousfield, Aldridge Knight, 1941-Contributor(s): Gugenheim, V. K. A. M, 1923- [joint author.]Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 179.Publication details: Providence, R.I. : American Mathematical Society, 1976Description: 1 online resource (ix, 94 p.)ISBN: 9781470408268 (online)Subject(s): Homotopy theory | Algebra, Homological | Differential formsAdditional physical formats: On PL de Rham theory and rational homotopy type /DDC classification: 510/.8 s | 512/.55 LOC classification: QA3 | .A57 no. 179 | QA612.7Online resources: Contents | Contents
Contents:
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
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Bibliography: p. 94.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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