Υ_G-Operator in grill N-topology

Authors

  • Antony George The American College, Madurai
  • Davamani Christober M The American College, Madurai

DOI:

https://doi.org/10.23755/rm.v47i0.967

Keywords:

Grill N-topology, Υ_G-operator, N-topology suitable for grill, Υ ̂_G–sets, relatively NτG-dense.

Abstract

In 2017, Lellis Thivagar et al. introduced a closure operator $N\tau_G$-$cl$  by using the local function $\Phi_G$ in grill $N$-topology. In this article, we introduce a new operator $\Upsilon_G$ in the same topological space. We study the properties of this new operator which helps us to derive a few equivalent expressions and a characterizing condition, in terms of $\Upsilon_G$. Then a  suitability condition for a grill in $N$-topological space $X$ is formulated. Also, we discuss the characterizing condition for the discussed suitability condition. In addition, we introduce and study $\widehat{\Upsilon}_{G}–$sets and utilize the $\Upsilon_G$-operator to define a generalized open set and their properties.

References

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Published

2023-06-30

Issue

Vol. 47 (2023)

Section

Volume 47-2023

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