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Completeness is productive
On Enormal spaces
Two procedures in bitopology
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adjoint algebraic appear applications assume Banach space belongs Berlin bireflective called canonical characterization closed coequalizer commutative compact compact spaces complete concept connection consider consisting constant construction contains continuous maps convergence coreflective Corollary countable cover define Definition denote diagram discrete element embedding equalizer equivalent example exists extension factorization filter final finite function given groups Hausdorff Hence Herrlich holds implies induced initial completions injective isomorphism Lemma lifting limit locally Math Mathematics morphism natural nearness normal object obtain operations pair Preprint preserves problem projective Proof Proposition prove reflective reflexive regular relation Remark resp respect satisfies semi-topological sense separated sequence structure subcategory subset Suppose Theorem theory topological categories topological functors topological spaces topos transformation uniform unique University