Categorical Aspects of Topology and Analysis: Proceedings of an International Conference Held at Carleton University, Ottawa, August 11-15, 1981, Issue 915
Springer-Verlag, 1982 - Categories (Mathematics) - 385 pages
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On the largest initial completion of categories of algebra 1
The coreflective hull of the contigual spaces in the category
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abelian group algebra ban(X Banach spaces Boolean bornological canonical CH(Cont 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 Math merotopic space monad monomorphisms morphism f N-map natural isomorphism nearness spaces nilpotent non-empty normed objects obtain P-connected pair Pcreg preserves 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 space topos totally bounded Unif uniform cover uniform spaces unique vector spaces