142 citations · 196 across the 21 of their papers we have counts for
12 papers · 1 filter
Symmetric weak multicategories
Volodymyr Lyubashenko
A multicategory is what remains of a monoidal category when monoidal product is not available. A weak multicategory means that hom-sets are in fact categories, and in place of usua…
Categories enriched over symmetric closed multicategories
Volodymyr Lyubashenko
We construct a machine which takes as input a locally small symmetric closed complete multicategory . And its output is again a locally small symmetric closed complete m…
Filtered cocategories
Volodymyr Lyubashenko
We recall the notions of a graded cocategory, conilpotent cocategory, morphisms of such (cofunctors), coderivations and define their analogs in -filtered setting. The di…
Curved homotopy coalgebras
Volodymyr Lyubashenko
We describe the category of homotopy coalgebras, concentrating on properties of relatively cofree homotopy coalgebras, morphisms and coderivations from an ordinary coalgebra to a r…
A_infinity-morphisms with several entries
Volodymyr Lyubashenko
We show that morphisms from n A_infinity-algebras to a single one are maps over an operad module with n+1 commuting actions of the operad A_infinity, whose algebras are conventiona…
Unital -categories
Volodymyr Lyubashenko, Oleksandr Manzyuk
We prove that three definitions of unitality for A-infinity-categories suggested by the first author, by Kontsevich and Soibelman, and by Fukaya are equivalent.