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

Sumaya A. Abed
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引用次数: 0

Abstract

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.
论拓扑空间中的超 iR 开放集及其若干应用
在这项工作中,我们引入了上拓扑空间中的上ir开集。,一类新颖的上开集。这类集合恰好位于超正则开集和超i开集之间。我们还研究了它的基本特征,并将它与其他类型的数据上半开集进行了比较,如上i-开集、上正则开集、正则开集、正则闭集、闭集、上半正则开集和上闭集。利用这一集合,我们引入并定义了上完全ir连续、上ir不决映射的概念,并研究了它的一些性质。证明了每一个超全iR连续函数都是超iR不决函数,每一个全iR不决函数????-连续函数是超全iR连续的,任何强连续函数都是超全iR连续的,另一方面,我们给出了一些例子来证明这种转换可能是不成立的。最后,我们证明了一些定理,讨论了上正则空间和上正则空间的性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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