Two topological equivalents of the axiom of choice

Mathematical Logic Quarterly 38 (1):555-557 (1992)
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Abstract

We show that the Axiom of Choice is equivalent to each of the following statements: A product of closures of subsets of topological spaces is equal to the closure of their product ; A product of complete uniform spaces is complete

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Two topological equivalents of the axiom of choice.Eric Schechter & E. Schechter - 1992 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 38 (1):555-557.

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Equivalents of the Axiom of Choice, II.Herman Rubin & Jean E. Rubin - 1987 - Journal of Symbolic Logic 52 (3):867-869.

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