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.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol8iss1pp61-65
- Journal
- Sultan Qaboos University Journal for Science, 8(1), 61
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Mohamad, A. M. (2003). Characterizations of K- Semimetric Spaces. Sultan Qaboos University Journal for Science, 8(1), 61. https://doi.org/10.24200/squjs.vol8iss1pp61-65
MLA 9
Mohamad, Abdul M. "Characterizations of K- Semimetric Spaces." Sultan Qaboos University Journal for Science, vol. 8, no. 1, 2003, pp. 61. https://doi.org/10.24200/squjs.vol8iss1pp61-65.
Chicago (author–date)
Mohamad, Abdul M. 2003. "Characterizations of K- Semimetric Spaces." Sultan Qaboos University Journal for Science 8 (1): 61. https://doi.org/10.24200/squjs.vol8iss1pp61-65.
Harvard
Mohamad, A. M. (2003) 'Characterizations of K- Semimetric Spaces', Sultan Qaboos University Journal for Science, 8(1), pp. 61. doi:10.24200/squjs.vol8iss1pp61-65.
Vancouver
Mohamad AM. Characterizations of K- Semimetric Spaces. Sultan Qaboos University Journal for Science. 2003;8(1):61. doi:10.24200/squjs.vol8iss1pp61-65
IEEE
A. M. Mohamad, "Characterizations of K- Semimetric Spaces," Sultan Qaboos University Journal for Science, vol. 8, no. 1, pp. 61, 2003, doi: 10.24200/squjs.vol8iss1pp61-65.