From the 1 of 2 linked papers with an AI index.
2 papers
math.CT2026
From Grothendieck cofibrations to factorization systems: a formal 2-monadic account
Fernando Lucatelli Nunes, Walter Tholen
The paper provides a fully 2‑categorical framework that connects Grothendieck cofibrations with factorization systems by using two related 2‑monads on the arrow 2‑category, describ…
math.CT2024
The normal decomposition of a morphism in categories without zeros
Renier Jansen, Muhammad Qasim, Walter Tholen
For a morphism f in a category C with sufficiently many finite limits and colimits, we discuss an elementary construction of a decomposition of f through objects P and N which, if…