A Generalized Form of G^*-Open Sets

Rajesh Kumar Tiwari¹ , J. K. Maitra² , Ravi Vishwakarma³

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.53-58, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.5358

Online published on Dec 31, 2018

Copyright © Rajesh Kumar Tiwari, J. K. Maitra, Ravi Vishwakarma . 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 :
Generalization of sets in topological space is a very important concept in modern mathematics for structural oriented techniques. To enrich the structure and properties of generalized open sets, we define the notion of p^*-open sets by using topological space and generalized topological space both on the set X. The main aim of this paper is to define p^*-open sets and its generalized sets p^*-I-open sets, I_(p^* )-open sets and weakly I_(p^* )-open sets in a space (both topological space and generalized topological space) via ideal with illustrative examples. Also, we study the significant properties of newly defined open sets in the set X.

Key-Words / Index Term :
Generalized topology, ideal topological spaces, G-open sets, p^*-open sets, I_(p^* )-open sets

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