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Search options questions only not deleted user 11640

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.

9 votes
1 answer
366 views

Is an open map with open relative diagonal necessarily a local homeomorphism?

Let $f : X \to Y$ be an open (and continuous) map of locales. Suppose the relative diagonal $\Delta_f : X \to X \times_Y X$ is an open embedding of locales. … An open embedding of locales is a morphism $f : X \to Y$ that is isomorphic to the inclusion of some open sublocale of $Y$. …
Zhen Lin's user avatar
  • 15.8k
7 votes
1 answer
125 views

Universally closed implies proper for locales

What about locales? Is there an intuitionistic proof? It seems to me possible to improve the proof mentioned above, for topological spaces at least. …
Zhen Lin's user avatar
  • 15.8k