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

 

Semicontinuous and irresolute images of $ S$-closed spaces


Author: Travis Thompson
Journal: Proc. Amer. Math. Soc. 66 (1977), 359-362
MSC: Primary 54C10
MathSciNet review: 0451193
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Abstract: A topological space is S-closed if and only if every semi-open cover of X has a finite subcollection whose closures cover X. The images of S-closed spaces under various mappings are investigated culminating in this main result: A Hausdorff space X is S-closed if and only if the irresolute image of X in any Hausdorff space is closed.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0451193-9
PII: S 0002-9939(1977)0451193-9
Keywords: S-closed, extremally disconnected, semicontinuous, irresolute
Article copyright: © Copyright 1977 American Mathematical Society