4 citations · 15 across the 20 of their papers we have counts for
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Cech cohomology of partially ordered sets
Ahmet A. Husainov
The article is devoted to a comparison of the Čech cohomology with the coefficients in a presheaf of Abelian groups and the topos cohomology of the sheaf generated by this presheaf…
Homotopy cofinality for Non-Abelian homology of group diagrams
Ahmet A. Husainov
We prove that a homotopy cofinal functor between small categories induces a weak equivalence between homotopy colimits of pointed simplicial sets. This is used to prove that the no…
Criteria for preserving the category cohomology for the inverse image
Ahmet A. Husainov
The article investigates the question of under what conditions a functor between small categories preserves cohomology groups when passing to the inverse image. For example, it is…
Non-Abelian homology and homotopy colimit of classifying spaces for a diagram of groups
Ahmet A. Husainov
This paper considers non-Abelian homology groups of a group diagram introduced as homotopy groups of a simplicial change. We prove a theorem stating that the non-Abelian homology g…