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On PL DeRham Theory and Rational Homotopy Type.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1976Copyright date: ©1976Edition: 1st edDescription: 1 online resource (107 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470408268
Subject(s): Genre/Form: Additional physical formats: Print version:: On PL DeRham Theory and Rational Homotopy TypeDDC classification:
  • 510/.8 s;512/.55
LOC classification:
  • QA612.7 -- .B68 1976eb
Online resources:
Contents:
Intro -- Contents -- Introduction -- 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 Homotopies in DASH -- 16. Minimal Algebras for Spaces with "Nice" Cohomology -- References.
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Intro -- Contents -- Introduction -- 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 Homotopies in DASH -- 16. Minimal Algebras for Spaces with "Nice" Cohomology -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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