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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
4
votes
1
answer
320
views
Isomorphism of coends
This is a follow-up to this question:
Reduction to graph subgroups for Bredon homology when the $G_1\times G_2$ is $G_2$-free
In his (very nice) answer Gregory Arone stated the following fact. Let $Q: …
2
votes
0
answers
131
views
A functor preserving adjunction between functor categories
I have the following problem. Let $\mathcal{C}_0$, $\mathcal{C}$ be small categories and $\mathcal{D}$, $\mathcal{E}$ be locally small categories. Let $Q\colon \mathcal{C}_0\to \mathcal{C}$ be a funct …
8
votes
1
answer
228
views
Class of maps in localized category may not be a set
In one of the very first sentences in Hovey's "Model Categories", Ist chapter, we read that
One can always invert these "weak equivalences"
formally
,
but
there
is a foundational
prob …