Abstract Homotopy Theory and Generalized Sheaf Cohomology
نویسندگان
چکیده
منابع مشابه
Abstract Homotopy Theory and Generalized Sheaf Cohomology
HOMOTOPY THEORY AND GENERALIZED SHEAF COHOMOLOGY BY KENNETHS. BROWN0) ABSTRACT. Cohomology groups Ha(X, E) are defined, where X is a topological space and £ is a sheaf on X with values in Kan's category of spectra. These groups generalize the ordinary cohomology groups of X with coefficients in an abelian sheaf, as well as the generalized cohomology of X in the usual sense. The groups are defin...
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This article is expanded from a talk given by the author in (the preliminary version of) the Student Algebraic Topology seminar in University of Michigan, Ann Arbor. The rst part will be a review of ordinary sheaf cohomology which is done in such a way that generalization to generalized sheaf cohomology theory becomes automatic. The second part is a quick introduction of the approach to general...
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A conjecture of F.Morel states that the motivic group π0,0(k) of a perfect field k coincides with the Grothendieck-Witt group GW (k) of quadratic forms over k provided that char(k) 6= 2. Morel’s proof of the conjecture requires the the following result: the Nisnevich sheaf WNis associated with the presheaf X 7→ W (X) is homotopy invariant and all its Nisnevich cohomology are homotopy invariant ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.2307/1996573