2 papers
math.AT2026
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…
math.AT2026
Cech cohomology of partially ordered sets
Ahmet A. Husainov
The article is devoted to a comparison of the Äech cohomology with the coefficients in a presheaf of Abelian groups and the topos cohomology of the sheaf generated by this preshea…