142 citations · 196 across the 21 of their papers we have counts for
21 papers
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 cooperads and homotopy unital A-infty-algebras
Volodymyr Lyubashenko
We provide bar and cobar constructions as functors acting between various categories of curved operads and curved cooperads. Cobar and bar constructions are adjoint to each other.…
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…
Bar and cobar constructions for curved algebras and coalgebras
Volodymyr Lyubashenko
We provide bar and cobar constructions as functors between some categories of curved algebras and curved augmented coalgebras over a graded commutative ring. These functors are adj…