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

1 vote

Homotopy type theory: Are the hierarchy of Type_k universes isomorphic?

The Univalence axiom states that homotopy equivalent types are equal. That doesn't mean the hierarchy is collapsible: that would require judgemental and not Leibniz equality. The very point of HoTT is …
Anton Fetisov's user avatar