Mathematical Logic Quarterly 51 (1):95-103 (2005)

Abstract
We study the role that the axiom of choice plays in Tychonoff's product theorem restricted to countable families of compact, as well as, Lindelöf metric spaces, and in disjoint topological unions of countably many such spaces
Keywords weak axioms of choice  sums and products of metrizable spaces  Axiom of choice  compact and Lindelöf metrizable spaces
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DOI 10.1002/malq.200410011
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