* change of base and co/limit preservation
@ 2018-06-17 4:31 Christian Williams
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From: Christian Williams @ 2018-06-17 4:31 UTC (permalink / raw)
To: categories
Let F: V -> W be a monoidal functor, and F*: VCat -> WCat be the change of
base; suppose T: A->B is a V-functor which preserves a class of weighted
co/limits {(j_i: K ->A, w_i: K -> V)}.
What is the correct notion of preservation for F*T; i.e. what is the
corresponding class of W-co/limits? It seems reasonable to be
{(F*(j_i),F*(w_i)}, but I have not found a good reference for this.
Under what conditions does F* "preserve co/limit preservation"? There seem
to be some interesting questions here. Has this been studied in any depth?
Thank you.
Sincerely,
Christian Williams
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