Displaying similar documents to “Disasters in metric topology without choice”

Countable sums and products of Loeb and selective metric spaces

Horst Herrlich, Kyriakos Keremedis, Eleftherios Tachtsis (2005)

Commentationes Mathematicae Universitatis Carolinae

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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.

Relative symmetrizability and metrizability

Aleksander V. Arhangel'skii, I. Ju. Gordienko (1996)

Commentationes Mathematicae Universitatis Carolinae

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Relative metrizability is defined and connections with other relative properties are established.