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math.CT2023
Unbounded twisted complexes
Rina Anno, Timothy Logvinenko
We define unbounded twisted complexes and bicomplexes generalising the notion of a (bounded) twisted complex over a DG category [BK90]. These need to be considered relative to anot…
math.CT2023
-structures in monoidal DG categories and strong homotopy unitality
Rina Anno, Sergey Arkhipov, Timothy Logvinenko
We define -structures -- algebras, coalgebras, modules, and comodules -- in an arbitrary monoidal DG category or bicategory by rewriting their definitions in terms of u…