A categorical proof of the equivalence of local compactness and exponentiability in locale theory
Christopher F. Townsend (2006)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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A categorical proof of the equivalence of local compactness and exponentiability in locale theory
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We extend the notion of a relatively pseudocomplemented meet-semilattice to arbitrary posets. We show some properties of the binary operation of relative pseudocomplementation and provide some corresponding characterizations. We show that relatively pseudocomplemented posets satisfying a certain simple identity in two variables are join-semilattices. Finally, we show that every relatively pseudocomplemented poset is distributive and that the converse holds for posets satisfying the ascending...