15 citations · 40 across the 23 of their papers we have counts for
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math.CO2015
A simplicial complex is uniquely determined by its set of discrete Morse functions
Nicolas Ariel Capitelli, Elias Gabriel Minian
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensi…
math.CO2007
2-Dimension from the topological viewpoint
Jonathan Ariel Barmak, Elias Gabriel Minian
In this paper we study the 2-dimension of a finite poset from the topological point of view. We use homotopy theory of finite topological spaces and the concept of a beat point to…
math.CO2007
The geometry of relations
Elias Gabriel Minian
There is a canonical way to associate two simplicial complexes K, L to any relation . Moreover, the geometric realizations of K and L are homotopy equivalent. T…