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math.CT2020★ 3 cited
Combinatorial skeletons of 2-cobordism and annular categories with applications to equational logic
Karl Auinger, Mikhail Volkov
We introduce a complete set of combinatorial data that encode the category of all -cobordisms. As an application, we show that the local monoids of $2\mathfrak…
math.CT2019
A Tale of Two Categories: Inductive groupoids and Cross-connections
P. A. Azeef Muhammed, Mikhail V. Volkov
A groupoid is a small category in which all morphisms are isomorphisms. An inductive groupoid is a specialised groupoid whose object set is a regular biordered set and the morphism…