81 citations · 174 across the 12 of their papers we have counts for
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math.AT2020★ 2 cited
A directed persistent homology theory for dissimilarity functions
David Méndez, Rubén J. Sánchez-García
We develop a theory of persistent homology for directed simplicial complexes which detects persistent directed cycles in odd dimensions. We relate directed persistent homology to c…
math.AT2020★ 1 cited
The ring of stable homotopy classes of self-maps of -polyhedra
David Méndez
We raise the problem of realisability of rings as the ring of stable homotopy classes of self-maps of a space . By focusing on -polyhedra, we show that the dire…