On PL DeRham Theory and Rational Homotopy Type is popular PDF and ePub book, written by Aldridge Knight Bousfield in 1976, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, On PL DeRham Theory and Rational Homotopy Type can be Read Online from any device for your convenience.
On PL DeRham Theory and Rational Homotopy Type Book PDF Summary
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.
Detail Book of On PL DeRham Theory and Rational Homotopy Type PDF
- Author : Aldridge Knight Bousfield
- Release : 01 October 1976
- Publisher : American Mathematical Soc.
- ISBN : 9780821821794
- Genre : Mathematics
- Total Page : 108 pages
- Language : English
- PDF File Size : 11,5 Mb
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