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The role of nearness spaces in topology
On theoreme d inversion locale
Charaktergruppen von Gruppen von S wertigen
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applications axioms Banach bimonoid bireflective called cartesian closed Cauchy-complete characterization CHSP co-complete commutative CoMon Comp compact Hausdorff spaces compact spaces compactly complete condition construction contains continuous maps convergence coreflective Corollary countable defined definition denote dense diagram differentiable duality embedding epimorphisms epireflective subcategory equivalent example exists extension faithful functor filter finite forgetful functor full subcategory functor F H-closed Hausdorff spaces hence Herrlich homotopy induced injective inverse isomorphism left adjoint Lemma Let f limit linear linearly ordered base locally compact map f Math metric minimal monoidal category monomorphism morphism natural transformation nearness space objects obtained paracompact preserves problem Proof Proposition proximity quotient reflective subcategory regular resp satisfies semigroup sequence structure subcategory of TOP subset subspace surjective Theorem theory topological algebra topological category topological functors topological spaces Tychonoff Tychonoff spaces uith Unif uniform spaces unique Univ vector space