Properties of Sb* Closed Sets in Topology

N.Gomathi

doi:https://doi.org/10.14445/22315373/IJMTT-V45P510

International Journal of Mathematics Trends and Technology

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Volume 45 | Number 1 | Year 2017 | Article Id. IJMTT-V45P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V45P510

Properties of Sb* Closed Sets in Topology

N.Gomathi

Abstract

In 1990, s.P Arya et al ., [1] introduced the concept of generalized semi closed sets . In 1987 P.Bhattacharya et.al[2] have introduced the notion of semi generalized closed sets in topological spaces . A.Poongothai and R.Parimelazhagan [3] have already introducred the notion of Sb*-closed sets in topological spaces . R.Parimelazhagan and V.Subramania pillai [4] have already introduced the notion of Sg*-closed sets in topological spaces . In this note I continue the study of these two class of sets in connection with studying the further properties of Strongly b star closed functions .Also I introduce Sb*-limit points and Sb*-derived sets, and also to introduce the new notion like Sb*- regular spaces and Sb*- normal. Spaces.

Keywords

sb* closed sets, Sb*-limit points , Sb*-derived sets , Sb*-regular, Sb*-normal , Sb*- neighbourhoods.

References

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Citation :

N.Gomathi, "Properties of Sb* Closed Sets in Topology," International Journal of Mathematics Trends and Technology (IJMTT), vol. 45, no. 1, pp. 57-61, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V45P510