Products of -compact spaces

Authors:
Victor Saks and R. M. Stephenson

Journal:
Proc. Amer. Math. Soc. **28** (1971), 279-288

MSC:
Primary 54.52

DOI:
https://doi.org/10.1090/S0002-9939-1971-0273570-6

MathSciNet review:
0273570

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Abstract | References | Similar Articles | Additional Information

Abstract: Some results are given on the closure under suitably restricted products of a class of spaces similar to one considered by Z. Frolík and, more recently, by N. Noble. An answer is given to the following question of Gulden, Fleischman, and Weston: Does there exist and an -compact space such that some subset of of cardinality is contained in no compact subset of ? It is shown that for every there is a topological group which has this property.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1971-0273570-6

Keywords:
Product spaces,
countably compact spaces,
-compact spaces,
products of -compact spaces

Article copyright:
© Copyright 1971
American Mathematical Society