The category of metric spaces has no regular subobject classifier - #378
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also, classify the regular monos
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This PR implements #304 and shows that
The regular monomorphisms in Met and Met∞ are still not understood.
The number of unknown (category, property)-pairs goes down from 72 to 69.
Thanks @dschepler for providing the proofs!
After merging, I realized that it also brings down the number of missing combinations from 409 to 399. Namely, PMet (or its dual) newly witnesses:
The initial goal of this milestone is reached, but I think we can do better.