ΠgμR-Locally Closed Sets in Supra Topological Spaces

Janaki, C.; Jeyanthi, V.

doi:10.1016/j.procs.2015.03.212

Cited by 1 publication

(1 citation statement)

References 4 publications

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“…In 2012, Mohammed and Askandar [2] proposed the notion of i-open sets, which they could combine with a variety of other generalized open set concepts. In 2016, Jardo, presented the notions of supra i-open sets and discussed the notions of supra i-continuous maps, supra i-open maps, and supra i-closed maps in topological spaces [7] .The concept of supra totally πgrcontinuous function in supra topological spaces was presented by C. Janaki and V. Jeyanthi [6] in 2015. New Types of Perfectly Supra Continuous Functions was presented by Humadi and Ali in [10] .…”

Section: Introductionmentioning

confidence: 99%

On Supra iR-Open Set in Topological Spaces and Some Applications

Abed

2023

JECNAM

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In this work we introduce the supra iR-open set in supra topological spaces. , a novel class of supra i-open sets. This class of sets exactly lies between supra regular open and supra i- open sets. We also look at its basic characteristics and compare it to other sorts of data supra semi open sets types as supra i- open set, supra regular open, regular open, regular closed, clopen, supra semi regular open set and supra clopen . By using this set , We introduce and define the notion of supra totally iR-continuous , supra iR-irresolute map and investigate some of its properties. We prove that every supra totally iR- continuous function is supra iR-irresolute, every totally i????-continuous function is supra totally iR continuous and any strongly continuous function is supra totally iR-continuous, on the other hand, we give examples to show that the convers may not be true. At last , We have proved some theorem to discuss the properties of supra iR-normal space and supra iR-regular space.

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Section: Introductionmentioning

confidence: 99%

On Supra iR-Open Set in Topological Spaces and Some Applications

Abed

2023

JECNAM

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ΠgμR-Locally Closed Sets in Supra Topological Spaces

Cited by 1 publication

References 4 publications

On Supra iR-Open Set in Topological Spaces and Some Applications

On Supra iR-Open Set in Topological Spaces and Some Applications

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