A New Notion of Generalized Closed Sets in Topological Spaces

C. Sekar; J. RajaKumari

doi:https://doi.org/10.14445/22315373/IJMTT-V36P518

International Journal of Mathematics Trends and Technology

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Volume 36 | Number 2 | Year 2016 | Article Id. IJMTT-V36P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V36P518

A New Notion of Generalized Closed Sets in Topological Spaces

C. Sekar, J. RajaKumari

Abstract

In this paper, a new class of sets in topological spaces namely, alpha generalized star preclosed (briefly g*p-closed) set is introduced. This class falls strictly in between the classes of gp*-closed and g*p-closed sets. Also we studied the characteristics and the relationship of this class of sets with the already existing class of closed sets. Further the complement of g*p-closed set that is g*p-open set has been imtroduced and investigated.

Keywords

g*p-closed set, g*p-open set , g*pclosure, g*p-interior, g*p-derived set.

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Citation :

C. Sekar, J. RajaKumari, "A New Notion of Generalized Closed Sets in Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 36, no. 2, pp. 124-130, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V36P518