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math.AT2023
Dowker Duality for Relations of Categories
Morten Brun, Marius Gårdsmann Fosse, Lars M. Salbu
We propose a categorification of the Dowker duality theorem for relations. Dowker's theorem states that the Dowker complex of a relation of sets and $Y…
math.AT2022
The Rectangle Complex of a Relation
Morten Brun, Lars M. Salbu
We construct a simplicial complex, the rectangle complex of a relation R, and show that it is homotopy equivalent to the Dowker complex of R. This results in a short and conceptual…