Soichiro Fujii

activity

20192026

most citedA unified framework for notions of algebraic theory

3 citations · 20 across the 18 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.CO2024★ 2 cited

Homotopy types of Hom complexes of graph homomorphisms whose codomains are square-free

Soichiro Fujii, Kei Kimura, Yuta Nozaki

Given finite simple graphs $G$ and $H$ , the Hom complex $Hom (G, H)$ is a polyhedral complex having the graph homomorphisms $G \to H$ as the vertices. We determine the homoto…

math.CO2024★ 3 cited

Homotopy types of Hom complexes of graph homomorphisms whose codomains are cycles

Soichiro Fujii, Yuni Iwamasa, Kei Kimura +2

For simple graphs $G$ and $H$ , the Hom complex $Hom (G, H)$ is a polyhedral complex whose vertices are the graph homomorphisms $G \to H$ and whose edges connect the pairs of…

math.CT2024★ 1 cited

$ω$ -weak equivalences between weak $ω$ -categories

Soichiro Fujii, Keisuke Hoshino, Yuki Maehara

We study $ω$ -weak equivalences between weak $ω$ -categories in the sense of Batanin-Leinster. Our $ω$ -weak equivalences are strict $ω$ -functors satisfying essential surjectivity in…

Homotopy types of Hom complexes of graph homomorphisms whose codomains are square-free

Homotopy types of Hom complexes of graph homomorphisms whose codomains are cycles

ω-weak equivalences between weak ω-categories

$ω$ -weak equivalences between weak $ω$ -categories