Lawvere completion and separation via closure

Details Lawvere completion and separation via closure Lawvere completion and separation via closure

2007-12-31

arxiv.org/abs/0801.0199v1

Mathematics

Category Theory

Scientific paper

For a quantale $\V$, first a closure-theoretic approach to completeness and
separation in $\V$-categories is presented. This approach is then generalized
to $\Tth$-categories, where $\Tth$ is a topological theory that entails a set
monad $\mT$ and a compatible $\mT$-algebra structure on $\V$.

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