02715nam 2200589 450 991078860870332120200711011304.01-4704-0826-0(CKB)3360000000464363(EBL)3113456(SSID)ssj0000973421(PQKBManifestationID)11537977(PQKBTitleCode)TC0000973421(PQKBWorkID)10960292(PQKB)11357195(MiAaPQ)EBC3113456(RPAM)346118(PPN)195410629(EXLCZ)99336000000046436320760916h19761976 uy| 0engur|n|---|||||txtccrOn PL De Rham theory and rational homotopy type /A.K. Bousfield and V.K.A.M. GugenheimProvidence, Rhode Island :American Mathematical Society,[1976]©19761 online resource (107 p.)Memoirs of the American Mathematical Society ;volume 8, number 179 (November 1976)Description based upon print version of record.0-8218-2179-2 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;number 179.Homotopy theoryAlgebra, HomologicalDifferential formsHomotopy theory.Algebra, Homological.Differential forms.512/.55Bousfield A. K.1941-284430Gugenheim V. K. A. M.1923-MiAaPQMiAaPQMiAaPQBOOK9910788608703321On PL De Rham theory and rational homotopy type3838657UNINA