Semi by Compact Sets and Semi Regularity Axioms in a Space

Md.Mamun Ar Rashid

doi:https://doi.org/10.14445/22315373/IJMTT-V55P571

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 8 | Year 2018 | Article Id. IJMTT-V55P571 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P571

Semi by Compact Sets and Semi Regularity Axioms in a Space

Md.Mamun Ar Rashid

Abstract

In this paper semi regularity and in a semi normality axioms are introduced space defined by A . D. Alexandroff and some of their properties are investigated. Also semi bi compact and semi Housdorff spaces are defined and a few results are expressed.

Keywords

semi bi compact set, semi regular space, semi normal space.

References

[1] Alexandroff , A.D., Additive set functions in abstract spaces, Mat. Sb. (N.S.) 8(50) (1940) 307–348 (English , Russian summary).
[2] Alexandroff , A.D., Additive set functions in abstract spaces, Mat. Sb. (N.S.) 9(51) (1941), 563–628 (English, Russian summary).
[3] Das, P. and Samanta, S.K., Pseudo-topological spaces, Sains Malaysiana, 21(4) (1992),101–107.
[4] Mashhour, A. S., Allam, A.A., Mahmoud , A.A. and Khedr, F.H., On supratopological spaces, Indian J. Pure Appl. Math. 14(4) (1983), 502– 510.
[5] Singal .M.K. and Arya .S.P. ,On almost regular spaces, Glasnik Mathematicki,Tom 4(24) ,No. 1(1969), 89-99.
[6] Singal .M.K. and Arya .S.P. Almost normal and Almost completely regular spaces, Glasnik Mathematicki ,Tom 5(25) ,No. 1(1979), 140- 151..
[7] Lahiri B.K. and Das Pratulananda ,Semi open sets in a space, Sains Malayasiana, 24(4)(1995),1-11.
[8]Reilly I.L., On essentially pair wise Housdorff spaces, Rendiconti del circolo mathematics Di Palermo,Serie II-tomo XXV,Anno(1976),47-52.

Citation :

Md.Mamun Ar Rashid, "Semi by Compact Sets and Semi Regularity Axioms in a Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 8, pp. 545-548, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P571