2 papers
math.CT2026
On the decomposition of a strong epimorphism into regular epimorphisms
Yuto Kawase, Hayato Nasu
Strong epimorphisms and regular epimorphisms are two important classes of morphisms, and they do not coincide in general. Yet, in a locally presentable category, it is known that a…
math.CT2025
Double categories of relations relative to factorisation systems
Keisuke Hoshino, Hayato Nasu
We relativise double categories of relations to stable orthogonal factorisation systems. Furthermore, we present the characterisation of the relative double categories of relations…