defining systems 1derivation complexes 1mapping spaces 1rational homotopy theory 1Whitehead products 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AT2026
Rational higher order Whitehead products of mapping spaces and defining systems
Takahito Naito
The paper provides an algebraic framework for describing rational higher order Whitehead products in mapping spaces using defining systems in a derivation complex.
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…