3 papers
math.AT2026
A distance between maps via interleavings of relative Sullivan algebras
Katsuhiko Kuribayashi, Takahito Naito, Kengo Sekizuka +2
In this article, we consider extended tame persistence commutative differential graded algebras (CDGAs) associated with relative Sullivan algebras. In particular, if the relative S…
math.AT2025
Algebraic interleavings of spaces over the classifying space of the circle
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
We bring spaces over the classifying space of the circle group to persistence theory via the singular cohomology with coefficients in a field. Then, the {\it cohomolog…
math.CO2024
Dominance complexes, neighborhood complexes and combinatorial Alexander duals
Takahiro Matsushita, Shun Wakatsuki
We show that the dominance complex of a graph coincides with the combinatorial Alexander dual of the neighborhood complex of the co…