6 citations · 24 across the 25 of their papers we have counts for
27 papers
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…
Towards Riemannian diffeology
Katsuhiko Kuribayashi, Keiichi Sakai, Yusuke Shiobara
We introduce a framework for Riemannian diffeology. To this end, we use the tangent functor in the sense of Blohmann and one of the options of a metric on a diffeological space in…
The equalities of interleaving distances and cohomology interleavings of spaces over
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
The cohomology interleaving distance (CohID) is defined and considered in the category of persistent differential graded modules over a field. As a consequence, we show that, in th…
On Félix-Tanré rational models for polyhedral products
Katsuhiko Kuribayashi
The Félix-Tanré rational model for the polyhedral product of a fibre inclusion is considered. In particular, we investigate the rational model for the polyhedral product of a pair…
On multiplicative spectral sequences for nerves and the free loop spaces
Katsuhiko Kuribayashi
We construct a multiplicative spectral sequence converging to the cohomology algebra of the diagonal complex of a bisimplicial set with coefficients in a field. The construction pr…
Cartan calculi on the free loop spaces
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
A typical example of a Cartan calculus consists of the Lie derivative and the contraction with vector fields of a manifold on the derivation ring of the de Rham complex. In this ma…