On PL De Rham theory and rational homotopy type

Table of Contents......Page page000003.djvu
Introduction......Page page000004.djvu
1. The Simplicial Algebra ∇......Page page000010.djvu
2. The Polynomial De Rham Theory......Page page000016.djvu
3. Multiplicative Structure and the Eilenberg-Moore Theorem......Page page000021.djvu
4. A Quillen Homotopy Theory for DG Algebras......Page page000027.djvu
5. Function Spaces for DG Algebras......Page page000033.djvu
6. The Homotopy Relation for DG Algebras......Page page000040.djvu
7. Minimal DG Algebras......Page page000046.djvu
8. The De Rham Functors and Their Adjoints......Page page000052.djvu
9. The Sullivan-De Rham Equivalence Theorem......Page page000059.djvu
10. Proof of the Sullivan-De aham Equivalence Theorem......Page page000064.djvu
11. The Sullivan-De Rham Localization and Homotopy Theorems......Page page000072.djvu
12. Extensions of the Sullivan-De Rham Theorems......Page page000078.djvu
13. Polynomial De Rham Theory for Simplicial Complexes......Page page000089.djvu
14. Another Proof of 2.2......Page page000093.djvu
15. Sullivan Homotopies are Homotopies in DASH......Page page000097.djvu
16. Minimal Algebras for Spaces with Nice Cohomology......Page page000101.djvu
References......Page page000103.djvu