1.

Record Nr.

UNINA9910788608703321

Autore

Bousfield A. K. <1941->

Titolo

On PL De Rham theory and rational homotopy type / / A.K. Bousfield and V.K.A.M. Gugenheim

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1976]

©1976

ISBN

1-4704-0826-0

Descrizione fisica

1 online resource (107 p.)

Collana

Memoirs of the American Mathematical Society ; ; volume 8, number 179 (November 1976)

Disciplina

512/.55

Soggetti

Homotopy theory

Algebra, Homological

Differential forms

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Introduction""; ""Â1. The Simplicial Algebra v""; ""Â2. The Polynomial De Rham Theory""; ""Â3. Multiplicative Structure and the Eilenberg-Moore Theorem""; ""Â4. A Quillen Homotopy Theory for DG Algebras""; ""Â5. Function Spaces for DG Algebras""; ""Â6. The Homotopy Relation for DG Algebras""; ""Â7. Minimal DG Algebras""; ""Â8. The De Rham Functors and Their Adjoints""; ""Â9. The Sullivan-De Rham Equivalence Theorem""; ""Â10. Proof of the Sullivan-De Rham Equivalence Theorem""; ""Â11. The Sullivan-De Rham Localization and Homotopy Theorems""

""Â12. Extensions of the Sullivan-De Rham Theorems""""Appendix""; ""Â13. Polynomial De Rham Theory for Simplicial Complexes""; ""Â14. Another Proof of 2.2""; ""Â15. Sullivan Homotopies are Homotopies in DASH""; ""Â16. Minimal Algebras for Spaces with ""Nice"" Cohomology""; ""References""