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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
axiom of choice; weak axioms of choice; Loeb metric spaces; selective metric spaces; countable Tychonoff products of metric spaces; countable sums of metric spaces
Summary:
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.
References:
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