6 citations · 9 across the 2 of their papers we have counts for
3 papers
math.CT2008★ 6 cited
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.
math.CT2007★ 3 cited
A-infinity-bimodules and Serre A-infinity-functors
Volodymyr Lyubashenko, Oleksandr Manzyuk
We define A-infinity-bimodules similarly to Tradler and show that this notion is equivalent to an A-infinity-functor with two arguments which takes values in the differential grade…
math.CT2006
Equalizers in the category of cocomplete cocategories
Bernhard Keller, Oleksandr Manzyuk
We prove existence of equalizers in certain categories of cocomplete cocategories. This allows us to complete the proof of the fact that A-infinity functor categories arise as inte…