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

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3 papers · 1 filter

math.CT2025

Nerves of generalized multicategories

Soichiro Fujii, Stephen Lack

For any category $E$ and monad $T$ thereon, we introduce the notion of $T$ -simplicial object in $E$ . Any $T$ -category in the sense of Burroni induces a $T$ -si…

math.CT2025

$ω$ -equifibrations between strict and weak $ω$ -categories

Soichiro Fujii, Keisuke Hoshino, Yuki Maehara

We study $ω$ -equifibrations between weak $ω$ -categories in the sense of Batanin--Leinster. We define $ω$ -equifibrations as a natural weak $ω$ -categorical analogue of isofibrations…

math.CT2025

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…

Nerves of generalized multicategories

ω-equifibrations between strict and weak ω-categories

The familial nature of enrichment over virtual double categories

$ω$ -equifibrations between strict and weak $ω$ -categories