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

M. Lellis Thivagar, Nirmala Rebecca Paul

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.

Keywords


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

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DOI: http://dx.doi.org/10.26713%2Fjims.v4i2.77

eISSN 0975-5748; pISSN 0974-875X