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math.CO2024
Reduction of Simplicial Complex by Relation and Dowker Complex
Dominic Desjardins Côté
We show a new reduction method on a simplicial complex. This reduction works well with relations and Dowker complexes. The idea is to add a dummy vertex to the simplicial com…
math.CO2023
Dowker Complexes and filtrations on self-relations
Dominic Desjardins Côté
Given a relation on , we can construct two abstract simplicial complexes called Dowker complexes. The geometric realizations of these simplicial complexes are homotop…