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The coreflective hull of the contigual spaces in the category
A categorical approach to probability theory
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abelian group algebra ban(X Banach spaces Boolean bornological characterization commutes compact abelian group compact Hausdorff compact spaces concrete category condition cones connected construction continuous maps convergence coreflective coreflective subcategory Corollary Creg defined definition denote diagram E-reflective subcategory element embedding epimorphisms epireflective equivalent exists factorization filter finite forgetful functor free compact group front adjunctions full subcategory function geometric morphism Hausdorff spaces hence Herrlich homotopy implies inclusion induced injective K-morphism K-object left adjoint Lemma Let f limit locally m-convergence Math merotopic space monad monomorphisms morphism f N-map natural isomorphism nearness spaces nilpotent non-empty normed objects obtain P-connected pair Pcreg preserves projective Proof Proposition prove pullback quasi-uniform quotient regular result S-Near satisfies semiinitial structure functors submonad subset subspace surjective T-section extension Theorem topological categories topological functors topological space topos totally bounded uniform cover uniform spaces unique vector spaces