TY  - BOOK
AU  - Bousfield,A.K.
AU  - Gugenheim,V.M.
TI  - On PL DeRham Theory and Rational Homotopy Type
T2  - Memoirs of the American Mathematical Society
SN  - 9781470408268
AV  - QA612.7 -- .B68 1976eb 
U1  - 510/.8 s;512/.55 
PY  - 1976///
CY  - Providence
PB  - American Mathematical Society
KW  - Homotopy theory
KW  - Algebra, Homological
KW  - Differential forms
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113456
ER  -