6 citations · 24 across the 25 of their papers we have counts for
5 papers · 1 filter
A topos associated with a colored category
Katsuhiko Kuribayashi, Yasuhiude Numata
We show that a functor category whose domain is a colored category is a topos.The topos structure enables us to introduce cohomology of colored categories including quasi-schemoids…
On the category of stratifolds
Toshiki Aoki, Katsuhiko Kuribayashi
Stratifolds are considered from a categorical point of view. We show among others that the category of stratifolds fully faithfully embeds into the category of -algebr…
On Mitchell's embedding theorem for a quasi-schemoid
Katsuhiko Kuribayashi, Yasuhiro Momose
A quasi-schemoid is a small category whose morphisms are colored with appropriate combinatorial data. In this note, Mitchell's embedding theorem for a tame schemoid is established.…
On strong homotopy for quasi-schemoids
Katsuhiko Kuribayashi
A quasi-schemoid is a small category with a particular partition of the set of morphisms. We define a homotopy relation on the category of quasi-schemoids and study its fundamental…
Association schemoids and their categories
Katsuhiko Kuribayashi, Kentaro Matsuo
We propose the notion of association schemoids generalizing that of association schemes from small categorical points of view. In particular, a generalization of the Bose-Mesner al…