Volume 28 | Number 1 | Year 2015 | Article Id. IJMTT-V28P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V28P507
The purpose of this paper is to introduce a weaker version of K-normality (K = α,p,s,b&β) called K- Quasi normality ,which surely lies between strongly K-normality & K- normality. It contains the fact that K- Quasi normality is topological property as well as hereditary property with respect to open subspaces. The characterization & preservation theorem in the context are presented in order to continue the study of the class of normal spaces, namely K- Quasi normal spaces.
1. A.S.Mashhour, M.E.Abd El-Monsef and S.N. El- Deeb, On pre continuous and weak pre continuous mappings, Proc. Math. and Phys. Soc. Egypt,53 (1982), 47-53.
2. A.S.Mashhour, I.A.Hasanein and S.N.El-Deeb, β-continuous and β-open mappings, Acta Math. Hungar., 41(1983),213-218.
3. C.Kuratowski, Topology I, 4th Ed., In French, Hafner, New York, (1958).
4. D. Andrijevic, On The Topology Generated By Preopen Sets, Ibid. (39)(1987), 367-76.
5. E.Ekici, On -normal spaces, Bull. Math. Soc. Sci. Math. Roumanie, 50(98)(3)(2007), 259-272.
6. H.Maki, J.Umehara and T.Noiri, Every topological space is pre-T 1/2, Mem. Fac. Sci. Kochi Univ. Ser.A Math., 17(1996),33-42
7. J.Dontchev and T.Noiri, Quasi normal spaces and πg-closed sets, Acta Math. Hungar., 89(3)(2000), 211-219.
8. S.P.Arya and T.M.Nour, Characterizations of snormal spaces, Indian J. Pure Appl. Math., 21(1990), 717-719.
9. M.K.Singal and S.P.Arya, On almost normal and almost completely regular spaces, Glasnik Mat., 5(5)(1970), 141-152.
10. O.Njastad, On some classes of nearly open sets, Paci_c J. Math., 15(1965), 961-970.
11. Paul and Bhattacharyya, On p-normal spaces, Soochow J. Math., 21(3)(1995), 273-289.
12. R.L.Prasad&B.L.Prabhakar; Pre- Separation Axioms; ActaCienciaIndica, Vol Xxxiv M No. 1.191-196 (2008)
13. R.A.Mahmoud and M.E.Abd El-Monsef, β- irresolute and β-topological invariant, Proc. Math. Pakistan. Acad. Sci.,27(1990), 285-296.
Dr. Thakur C. K. Raman, Vidyottama Kumari, "K-Quasi Normal Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 28, no. 1, pp. 31-33, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V28P507