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Homology Groups of Cubical Sets
The paper is devoted to homology groups of cubical sets with coefficients in contravariant systems of abelian groups. The study is based on the proof...
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Spectral sequences for Hochschild cohomology and graded centers of derived categories
The Hochschild cohomology of a differential graded algebra, or a differential graded category, admits a natural map to the graded center of its...
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Gersten resolution with support
In the present paper, we generalize the Quillen presentation lemma. As an application, for a given functor with transfers, we prove the exactness of...
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Cohomology of the Grothendieck construction
We consider cohomology of small categories with coefficients in a natural system in the sense of Baues and Wirsching. For any functor L : K → CAT , we...
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Normal Form in Filtered Lie Algebra Representations
This paper gives a setup for normal form theory and the computation of normal forms with emphasis on the dual character of the transformation...
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Vanishing line for the descent spectral sequence
We prove that if $f:X \to Y$ is a surjective, cohomologically ( k - 1)-connected and proper map between locally compact spaces, then for the...
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Algebras with one ternary operation that satisfies certain identities.
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A spectral sequence for the K-theory of affine glued schemes
An affine scheme is ‘glued’ if it is the colimit of a finite diagram of affine schemes. We first develop several recognition criteria for determining...