On (gg)*- Closed Sets in Topological Spaces

I. Christal Bai¹ , T.Shyla Isac Mary²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.395-403, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.395403

Online published on Aug 31, 2018

Copyright © I. Christal Bai, T.Shyla Isac Mary . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we introduce a new class of closed sets called generalization of generalized star closed sets (briefly (gg)* - closed) in topological Spaces. A subset A of a topological space (X , τ) is called (gg)* - closed if U contains regular closure of A whenever U contains A and U is gg-open in (X , τ). We studied the relation of this set with some of the other closed and generalized closed sets and some of the characteristics, of (gg)*- closed sets have been investigated and studied.

Key-Words / Index Term :
(gg)* - closed set, gg - open, regular closure

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