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A continuous notion of realizability

Kleene defined a continuous realizability over Baire space, i.e. $\mathbb N^{\mathbb N}$ with the product topology. In this model $\forall x\exists y\phi(x,y)$ is valid, if there is a continuous funct …
Wouter Stekelenburg's user avatar
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Equivalence relations in suplattices

A suplattice automatically has all meets, and a suplattice where meets distribute over all joins is a locale. The category of partial (i.e. nonreflexive) equivalence relations and functional relations …
Wouter Stekelenburg's user avatar