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Questions taking place in the category of locales, which is given by the opposite of the category of frames. Also appropriate for questions about pointless topology.
4
votes
Accepted
Detecting positive endomaps of the formal reals
Now consider the embedding of pointwise spaces into locales; the work by Palmgren A constructive and functorial embedding of locally compact metric spaces into locales. …
10
votes
Accepted
reference request : constructive measure theory
Steve Vickers’ A monad of valuation locales presents a strong monad on the category of locales, a localic analogue of the Giry monad. … One difference with our work is that we focus on valuations on compact regular locales which give integrals to the Dedekind reals, whereas in the general theory the integrals are only lower reals. …