29 citations · 187 across the 52 of their papers we have counts for
64 papers
Limits via relations
Sergei O. Ivanov, Roman Mikhailov, Fedor Pavutnitskiy
In this paper, we study operations on functors in the category of abelian groups simplar to the derivation in the sense of Dold-Puppe. They are defined as derived limits of a funct…
A Note on the Non-Existence of Functors
Emmanuel Dror Farjoun, Sergei O. Ivanov, Aleksandr Krasilnikov +1
We consider several types of non-existence theorems for functors. For example, there are no nontrivial functors from the category of groups (or the category of pointed sets, or vec…
On the path homology of Cayley digraphs and covering digraphs
Shaobo Di, Sergei O. Ivanov, Lev Mukoseev +1
We develop a theory of covering digraphs, similar to the theory of covering spaces. By applying this theory to Cayley digraphs, we build a "bridge" between GLMY-theory and group ho…
Completions and Terminal Monads
Emmanuel Dror Farjoun, Sergei O. Ivanov
We consider the terminal monad among those preserving the objects of a subcategory, and in particular preserving the image of a monad. Several common monads are shown to be uniquel…
Simplicial approach to path homology of quivers, marked categories, groups and algebras
Sergei O. Ivanov, Fedor Pavutnitskiy
We develop a generalisation of the path homology theory introduced by Grigor'yan, Lin, Muranov and Yau (GLMY-theory) in a general simplicial setting. The new theory includes as par…
Banach's isometric subspace problem in dimension four
Sergei Ivanov, Daniil Mamaev, Anya Nordskova
We prove that if all intersections of a convex body with 3-dimensional linear subspaces are linearly equivalent then is a centered ellipsoid. This gives a…