3 citations · 20 across the 18 of their papers we have counts for
18 papers
Monads and Distributive Laws in Substructural Contexts (Extended Version)
Soichiro Fujii, Yun Chen Tsai, Yoàv Montacute +1
We present a categorical theory of monads and distributive laws in substructural contexts. In the study of distributive laws, the roles of (the absence of) structural rules for var…
Nerves of generalized multicategories
Soichiro Fujii, Stephen Lack
For any category and monad thereon, we introduce the notion of -simplicial object in . Any -category in the sense of Burroni induces a -si…
-equifibrations between strict and weak -categories
Soichiro Fujii, Keisuke Hoshino, Yuki Maehara
We study -equifibrations between weak -categories in the sense of Batanin--Leinster. We define -equifibrations as a natural weak -categorical analogue of isofibrations…
The familial nature of enrichment over virtual double categories
Soichiro Fujii, Stephen Lack
Originally enriched categories were defined over a monoidal category, but it was gradually realized that important examples can only be included when one enriches over more general…
Homotopy types of Hom complexes of graph homomorphisms whose codomains are square-free
Soichiro Fujii, Kei Kimura, Yuta Nozaki
Given finite simple graphs and , the Hom complex is a polyhedral complex having the graph homomorphisms as the vertices. We determine the homoto…
Homotopy types of Hom complexes of graph homomorphisms whose codomains are cycles
Soichiro Fujii, Yuni Iwamasa, Kei Kimura +2
For simple graphs and , the Hom complex is a polyhedral complex whose vertices are the graph homomorphisms and whose edges connect the pairs of…