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Stream: learning: questions

Topic: Universal property of the locale of real numbers


view this post on Zulip Madeleine Birchfield (Feb 06 2024 at 08:55):

Is the locale of real numbers characterized by a universal property in the category of locales?

view this post on Zulip Mike Shulman (Feb 06 2024 at 15:37):

Well, the frame of real numbers has a presentation, so that gives it a universal property in the category of frames, and you can then turn that around.