g*-Closed Sets in Topological Spaces

Pauline Mary Helen M; Gayathri. A

doi:https://doi.org/10.14445/22315373/IJMTT-V6P506

International Journal of Mathematics Trends and Technology

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Volume 6 | Number 1 | Year 2014 | Article Id. IJMTT-V6P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V6P506

g*-Closed Sets in Topological Spaces

Pauline Mary Helen M , Gayathri. A

Abstract

In this paper we have introduced a new class of sets called g*-closed sets which is properly placed in between the class of closed sets and g-closed sets. As an application, we introduce three new spaces namely, Tg*,gTg* and g*Tg* spaces. Further, g*-continuous and g*-irresolute mappings are also introduced and investigated.

Keywords

g*-closed sets, g*-continuous map, g*-irresolute map, Tg* , gTg* and g*Tg* spaces.

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Citation :

Pauline Mary Helen M , Gayathri. A, "g*-Closed Sets in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 6, no. 1, pp. 60-74, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V6P506