3 papers
math.AT2026
The group of homotopy self-equivalences is a Lax functor
Toshihiro Yamaguchi, Shoji Yokura
The group $\E(X)$ of homotopy self-equivalences of a topological space is a well-known group in homotopy theory and has been studied by many people since it was first introduce…
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…