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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$ S$-sets and $ S$-perfect mappings


Authors: R. F. Dickman and R. L. Krystock
Journal: Proc. Amer. Math. Soc. 80 (1980), 687-692
MSC: Primary 54D25; Secondary 54C10
MathSciNet review: 587956
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Abstract: In this note we generalize the notion of an S-closed space to S-sets of a space. Among our characterizations of S-sets, we show that a subset A of an extremally disconnected space X is an S-set in X if and only if A is an H-set in X. We also investigate conditions under which mappings or their inverses preserve S-sets.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0587956-9
PII: S 0002-9939(1980)0587956-9
Keywords: S-closed, H-sets, extremally disconnected spaces
Article copyright: © Copyright 1980 American Mathematical Society