First Sentence:
THEOREM 0.1 (Tychonoff 1930, 1935).
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Key Phrases - Statistically Improbable Phrases (SIPs):
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coreflective subconstruct, modal closure operators, analytic subalgebra, homotopy commutative square, idempotent hull, orthogonal hull, bitopological spaces, coreflective hull, homotopy system, epireflective hull, categorical topology, finitary signature, pretopological spaces, indiscrete space, evenly continuous, epireflective subcategory, chained sinks, closure operator induced, clone segments, exponential objects, regular epimorphism, regular convergence, prime ideal theorem, uniformly continuous maps, cartesian closedness
Key Phrases - Capitalized Phrases (CAPs):
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New York, Kluwer Academic Publishers, Eraldo Giuli, Main Lemma, Mathematics Subject Classifications, Topology Appl, Applied Categorical Structures, A-compact Hausdorff, Department of Mathematics, Cahiers de Topologie, University of Cape Town, B-compact Hausdorff, Cahiers Topologie, World Scientific, Category Theory, Jurgen Koslowski, South Africa, Conference Proceedings, Grant Agency of the Czech Republic, John Wiley, Quaestiones Math, Springer Verlag, Universidade de Coimbra, Amer Math, Cambridge Univ
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