Characterizations of K- Semimetric Spaces

Authors

Abdul M. Mohamad, Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al Khod 123, Muscat, Sultanate of Oman

Abstract

In this paper, we prove, for a space X, the following are equivalent:1. X is a D1 space with a regular-Gδ-diagonal,2. X is a D2 space with a regular-Gδ-diagonal, 3. X is a semi-developable space with Gδ (3) -diagonal, 4. X is a D1-space with a Gδ(3)-diagonal, 5. X is a D2 -space with a Gδ(3)-diagonal, 6. X is a q, -space with a G*δ (2)-diagonal, 7. X is a semi-developable space with G*δ (2)-diagonal, 8. X is a semimetrizable, c-stratifiable space, 9. X is a c-Nagata -space, 10. X is a K-semimetrizable.

Recommended Citation

Mohamad, Abdul M. (2002) Characterizations of K- Semimetric Spaces, Sultan Qaboos University Journal For Science: Vol. 8: Iss. 1, 61-65.
DOI: https://doi.org/10.24200/squjs.vol8iss1pp61-65
Available at: https://squjs.squ.edu.om/squjs/vol8/iss1/4