Displaying similar documents to “Algebraic K -theory and etale cohomology”

Exploring W.G. Dwyer's tame homotopy theory.

Hans Scheerer, Daniel Tanré (1991)

Publicacions Matemàtiques

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Let S be the category of r-reduced simplicial sets, r ≥ 3; let L be the category of (r-1)-reduced differential graded Lie algebras over Z. According to the fundamental work [3] of W.G. Dwyer both categories are endowed with closed model category structures such that the associated tame homotopy category of S is equivalent to the associated homotopy category of L. Here we embark on a study of this equivalence and its implications. In particular, we show how to compute homology, cohomology,...