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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Products of initially $ m$-compact spaces


Authors: R. M. Stephenson and J. E. Vaughan
Journal: Trans. Amer. Math. Soc. 196 (1974), 177-189
MSC: Primary 54D20
MathSciNet review: 0425898
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Abstract: The main purpose of this paper is to give several theorems and examples which we hope will be of use in the solution of the following problem. For an infinite cardinal number $ \mathfrak{m}$, is initial $ \mathfrak{m}$-compactness preserved by products? We also give some results concerning properties of Stone-Čech compactifications of discrete spaces.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1974-0425898-1
PII: S 0002-9947(1974)0425898-1
Keywords: Countably compact spaces, product spaces, $ \mathfrak{m}$-compact spaces, topological groups, initially $ \mathfrak{m}$-compact spaces
Article copyright: © Copyright 1974 American Mathematical Society