Countable sums and products of Loeb and selective metric spaces

نویسندگان

  • Horst Herrlich
  • Kyriakos Keremedis
  • Eleftherios Tachtsis
چکیده

(a) X is said to be a Loeb space i® the family of all non-empty, closed subsets of X has a choice function. (b) X is said to be selective i® the family of all non-empty, open subsets of X has a choice function. (c) X is said to be locally compact i® each point in X has a neighborhood base consisting of compact sets. (d) X is called second countable if it has a countable base for T . (e) X is called separable if it has a countable dense subset.

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تاریخ انتشار 2005