29 citations · 187 across the 52 of their papers we have counts for
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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…