International Journal of Mathematics Trends and Technology
Volume 70 | Issue 11 | Year 2024 | Article Id. IJMTT-V70I11P105 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I11P105
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 20 Aug 2024 | 30 Sep 2024 | 17 Nov 2024 | 30 Nov 2024 |
In this paper, using Q*-closed sets, we introduce a new version of normality called Q*-normality, which is a weak form of normality. Further utilizing Q*g-closed sets, we obtain some characterizations of Q*-normal and normal spaces and also obtain some preservation theorems for Q*-normal spaces.
Q*-closed, g-closed, Q*g-closed sets, Q*-continuous and almost Q*-continuous functions, Normal, Q*-normal spaces.
[1] J. Dontchev, and T. Noiri, “Quasi-Normal Spaces and πg-Closed Sets,” Acta Mathematica Hungarica, vol. 89, no. 3, pp. 211-219, 2000.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Hemant Kumar, “Some Weaker forms of Normal Spaces in Topological Spaces,” Ph.D. Thesis, C. C. S. University, Meerut, 2018.
[Google Scholar] [Publisher Link]
[3] Norman Levine, “Generalized Closed Sets in Topology,” Rendiconti del Circolo Matematico di Palermo, vol. 19, pp. 89-96, 1970.
[CrossRef] [Google Scholar] [Publisher Link]
[4] M.K. Singal, and Asha Rani Singal, “Mildly Normal Spaces,” Kyungpook Mathematical Journal, vol. 13, no. 1, pp. 27-31, 1973.
[Google Scholar] [Publisher Link]
[5] V. Zaitsev, “On Certain Classes of Topological Spaces and Their Biocompactifications,” Doklady Akademii Nauk: SSSR, vol. 178, no. 4,
pp. 778-779, 1968.
[Google Scholar]
Hamant Kumar, Neeraj Kumar Tomar, "Q*-Normal Spaces in General Topology," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 11, pp. 32-37, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I11P105
PDF 
Abstract 
Keywords 
References 
Citation