On $\widetilde{g}_{\alpha}$-Grill in Topological Spaces

Authors

  • M. Lellis Thivagar Department of Mathematics, Madurai Kamaraj University, Madurai 625021, Tamilnadu, India
  • Nirmala Rebecca Paul Department of Mathematics, Lady Doak College, Madurai 625002, Tamilnadu, India

DOI:

https://doi.org/10.26713/jims.v4i2.77

Keywords:

${}^{\#}gs$-open sets, $\widetilde{g}_{\alpha}$-closed, $\widetilde{g}_{\alpha}$-open sets

Abstract

The aim of this paper is to introduce a new type of topology in terms of grills and $\widetilde{g}_{\alpha}$-sets and study the related topological properties. We define new types of sets to study the relationship between the new sets and existing sets and to derive a new decomposition of continuity.

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CITATION

How to Cite

Thivagar, M. L., & Paul, N. R. (2012). On $\widetilde{g}_{\alpha}$-Grill in Topological Spaces. Journal of Informatics and Mathematical Sciences, 4(2), 157–165. https://doi.org/10.26713/jims.v4i2.77

Issue

Section

Research Articles