Geodesic
Countable sums and products of Loeb and selective metric spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 2, pp. 373-384.

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We investigate the role that weak forms of the axiom of choice play in countable Tychonoff products, as well as countable disjoint unions, of Loeb and selective metric spaces.
Classification : 03E25, 54A35, 54D45, 54E50, 54E99
Keywords: axiom of choice; weak axioms of choice; Loeb metric spaces; selective metric spaces; countable Tychonoff products of metric spaces; countable sums of metric spaces 
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     title = {Countable sums and products of {Loeb} and selective metric spaces},
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Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios. Countable sums and products of Loeb and selective metric spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 2, pp. 373-384. http://geodesic.mathdoc.fr/item/CMUC_2005__46_2_a11/