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نویسندگان
چکیده
منابع مشابه
The Verdier hypercovering theorem
to the morphism f ·p−1, is a bijection provided that X and Y are locally fibrant in the sense that all of their stalks are Kan complexes. Here, π(Z, Y ) denotes simplicial homotopy classes of maps, and the colimit is indexed over homotopy classes represented by hypercovers p : Z → X. A hypercover is a map which is a trivial fibration of simplicial sets in all stalks, and is therefore invertible...
متن کاملVerdier Specialization via Weak Factorization
Let X ⊂ V be a closed embedding, with V r X nonsingular. We define a constructible function ψX,V on X, agreeing with Verdier’s specialization of the constant function 1V when X is the zero-locus of a function on V . Our definition is given in terms of an embedded resolution of X; the independence on the choice of resolution is obtained as a consequence of the weak factorization theorem of [AKMW...
متن کاملPoincaré - Verdier Duality in O-minimal Structures
Here we prove a Poincaré Verdier duality theorem for the ominimal sheaf cohomology with definably compact supports of definably normal, definably locally compact spaces in an arbitrary o-minimal structure. RÉSUMÉ. On démontre une dualité de Poincaré Verdier dans le cadre de la cohomologie o-minimale des faisceaux avec support compact et définissable sur un espace définissablement normaux, défin...
متن کاملVerdier octahedra on the same base
We show by an example that in a Verdier triangulated category, there may exist two mutually nonisomorphic Verdier octahedra containing the same commutative triangle.
متن کاملGraph Homology: Koszul and Verdier Duality
We show that Verdier duality for certain sheaves on the moduli spaces of graphs associated to Koszul operads corresponds to Koszul duality of operads. This in particular gives a conceptual explanation of the appearance of graph cohomology of both the commutative and Lie types in computations of the cohomology of the outer automorphism group of a free group. Another consequence is an explicit co...
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ژورنال
عنوان ژورنال: Tidsskrift for Den norske legeforening
سال: 2020
ISSN: 0029-2001
DOI: 10.4045/tidsskr.20.0082