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Constructive mathematics in the style of Bishop, including its semantics using realizabilty or topological methods.

5 votes
0 answers
413 views

Inductive generation of non-spatial locales

Is there an example of a locale/formal space which is not spatial (i.e., one can prove it is not spatial, rather than something like $\mathbb{R}$, where spatiality is independent in a constructive met …
Ben's user avatar
  • 303
8 votes

Difference between constructive Dedekind and Cauchy reals in computation

As others have mentioned, there are many different variations in the exact notion of Cauchy reals and Dedekind reals which affect the answer. I will choose variations so that I can offer a counterpoin …
Ben's user avatar
  • 303
5 votes
0 answers
253 views

Uniqueness of localic analogue of Radon-Nikodym derivatives

In classical probability theory, Radon-Nikodym derivatives are unique up to measure-0 sets of the background measure. I am wondering whether the following statement, intended to state an analogue of t …
Ben's user avatar
  • 303