A note on $S$-closed spaces
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- by Asha Mathur PDF
- Proc. Amer. Math. Soc. 74 (1979), 350-352 Request permission
Abstract:
A topological space X is said to be S-closed if and only if for every semi-open cover of X there exists a finite subfamily such that the union of their closures cover X. For a Hausdorff space, the concept of S-closed is shown to be equivalent to the concept of extremally disconnected and nearly compact. Further it has been shown that EDH-closed spaces are precisely S-closed Hausdorff spaces.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 350-352
- MSC: Primary 54D20; Secondary 54G05
- DOI: https://doi.org/10.1090/S0002-9939-1979-0524315-0
- MathSciNet review: 524315