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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
3
votes
0
answers
174
views
Categories in which an epimorphism applied to a non-monic epimorphism can be monic
Let $\mathcal{C}$ be a category, and let $A$, $B$, and $C$ be objects.
Given $A \xrightarrow{f} B \xrightarrow{g} C$ such that:
$f$ is both epic and monic
$g$ is epic but not monic
$gf$ is epic and …
3
votes
1
answer
306
views
Exponential locales and a pointless version of the compact-open topology?
TL;DR: compact-open topology for Homs of locales?
Let $\mathcal{L}$ be a full subcategory of the category $\mathcal{Loc}$ of locales.
For two locales, $A$ and $B$, is there a nice way to make an int …