Kyungpook Mathematical Journal
- Volume 28 Issue 1
- /
- Pages.91-95
- /
- 1988
- /
- 1225-6951(pISSN)
- /
- 0454-8124(eISSN)
A NOTE ON H-SETS
- Tikoo, Mohan L. (Department of Mathematics, Southeast Missouri State University)
- Published : 1988.06.20
Abstract
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.
Keywords