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Alexandroff bases and the category Aex
Some functorial relationships between
Realcompact Alexandroff spaces
6 other sections not shown
a-prime filters adjoint admits a unique afKm Alexandroff base Alexandroff space X,2 Alo and Shapiro Alzx Amer Banaschewski 1980a Blair and Hager Blasco Cape Town Cauchy filters chapter closed sets commutes compact Alexandroff spaces compact regular a-frame compact spaces complete objects continuous functions coreflection Corollary countable coz-cover coz-map f cozero-sets denote dense embedding distinguishes points duality epireflective subcategory essential embedding exists F preserves finite following are equivalent full subcategory functor Gillman and Jerison hence homomorphism initial isomorphism KSIX lattice Lemma Lindelof Math normal base o-algebra Proc Proposition pseudocompact Alexandroff space pseudocompact spaces real 2-ultrafilter realcompact Alexandroff space realcompact-fine Alexandroff space restriction result RFuX sober spaces space X subcategory of A£ex subspace topological spaces topologically realcompact topologically realcompact)-fine Tych Tychonoff space underlying topology uniform spaces unique Alexandroff structure unique compactification uX x uY Wallman realcompactification z-embedded zero-set spaces