On PL DeRham Theory and Rational Homotopy Type

On PL DeRham Theory and Rational Homotopy Type
Author: Aldridge Knight Bousfield
Publisher: American Mathematical Soc.
Total Pages: 108
Release: 1976
Genre: Mathematics
ISBN: 0821821792

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The rational [bold]PL de Rham theory of Sullivan is developed and generalized, using methods of Quillen's "homotopical algebra." For a field k of characteristic 0, a pair of contravariant adjoint functors A : (Simplicial sets) [right arrow over left arrow] (Commutative DG k-algebras) : F is obtained which pass to the appropriate homotopy categories. When k is the field of rationals, these functors induce equivalence between the appropriate simplicial and algebraic rational homotopy categories. The theory is not restricted to simply connected spaces. It is closely related to the theory of "rational localization" (for nilpotent spaces) and "rational completion" in general.


On PL DeRham Theory and Rational Homotopy Type
Language: en
Pages: 108
Authors: Aldridge Knight Bousfield
Categories: Mathematics
Type: BOOK - Published: 1976 - Publisher: American Mathematical Soc.

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The rational [bold]PL de Rham theory of Sullivan is developed and generalized, using methods of Quillen's "homotopical algebra." For a field k of characteristic
On PL de Rham Theory and Rational Homotopy Type
Language: en
Pages: 94
Authors: Aldridge Knight Bousfield
Categories: Algebra, Homological
Type: BOOK - Published: 1976 - Publisher:

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Rational Homotopy Theory and Differential Forms
Language: en
Pages: 228
Authors: Phillip Griffiths
Categories: Mathematics
Type: BOOK - Published: 2013-10-02 - Publisher: Springer Science & Business Media

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This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, e
On PL de Rhaam Theory and Rational Homotopy Type
Language: en
Pages: 94
Authors:
Categories: Algebra, Homological
Type: BOOK - Published: 1976 - Publisher:

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Rational Homotopy Type
Language: en
Pages: 240
Authors: Wen-tsün Wu
Categories: Mathematics
Type: BOOK - Published: 1987-07-15 - Publisher: Lecture Notes in Mathematics

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This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point