1 citations · 1 across the 5 of their papers we have counts for
5 papers
Path homology of digraphs without multisquares and its comparison with homology of spaces
Xin Fu, Sergei O. Ivanov
For a digraph without multisquares and a field , we construct a basis of the vector space of path -chains for , generalising the bas…
On diagonal digraphs, Koszul algebras and triangulations of homology spheres
Sergei O. Ivanov, Lev Mukoseev
We study magnitude homology of digraphs, with a particular focus on diagonal digraphs, i.e., digraphs whose magnitude homology is concentrated on the diagonal. For any digraph ,…
Magnitude homology is a derived functor
Yasuhiko Asao, Sergei O. Ivanov
We prove that the magnitude (co)homology of an enriched category can, under some technical assumptions, be described in terms of derived functors between certain abelian categories…
Nested homotopy models of finite metric spaces and their spectral homology
Sergei O. Ivanov
For a real we consider the notion of -homotopy equivalence in the category quasimetric spaces, which includes metric spaces and directed graphs. We show that for a fi…
Transfinite version of the Mittag-Leffler condition for the vanishing of the derived limit
Mishel Carelli, Sergei O. Ivanov
We give a necessary and sufficient condition for an inverse sequence indexed by natural numbers to have . This condition can b…