Kyungpook Mathematical Journal
- 제28권1호
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- Pages.91-95
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- 1988
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- 1225-6951(pISSN)
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- 0454-8124(eISSN)
A NOTE ON H-SETS
- Tikoo, Mohan L. (Department of Mathematics, Southeast Missouri State University)
- 발행 : 1988.06.20
초록
The nature of a H-set in a Hausdorff space is not well understood. In this note it is shown that if X is a countable union of nowhere dense compact sets, then X is not H-embeddable in any Hausdorff space. An example is given to show that there exists a non-Urysohn, non-H-closed space X such that each H-set of X is compact.
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