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For questions on limits and colimts in the sense of category theory, and related notions.

7 votes
Accepted

Local finality condition (for re-indexing parameterized colimits)

Since nobody has said so, I will mention that the notion you describe is a particular case of the known --- but perhaps obscure --- concept of Guitart exact square. One can read about it in the nlab p …
Ricardo Andrade's user avatar
9 votes
Accepted

When do reflexive coequalizers preserve weak equivalences?

Disclaimer: I am not an expert on model categories. $\newcommand{\MM}{\mathcal{M}} \newcommand{\pair}{\mathsf{P}} \newcommand{\dom}{\operatorname{dom}} \newcommand{\codom}{\operatorname{codom}} \newco …
Ricardo Andrade's user avatar