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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 …
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 …