包含拓扑理想的新集合

IF 0.3 Q4 MATHEMATICS Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI:10.1016/j.trmi.2017.11.001

Erdal Ekici

引用次数: 3

摘要

1999年，Dontchev研究了pre-I-open sets的概念(Dontchev, 1999)。2002年，Hatir和Noiri研究了半i-开集的概念(Hatir和Noiri, 2002)。Ekici在2013年研究了CI∗-集的概念(Ekici, 2013)。本文引入了ζ- i开集的概念。ζ- i-开集的概念与拓扑、预i-开集、半i-开集和CI * -集有关。给出了ζ- i开集的主要性质。

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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A new collection which contains the topology via ideals

In 1999, Dontchev studied the concept of pre- $I$ -open sets (Dontchev, 1999). In 2002, Hatir and Noiri studied the concept of semi- $I$ -open sets (Hatir and Noiri, 2002). In 2013, Ekici studied the concept of $C_{I}^{*}$ -sets (Ekici, 2013). In this paper, the concept of $ζ$ - $I$ -open sets is introduced. The concept of $ζ$ - $I$ -open sets is related to topology, pre- $I$ -open sets, semi- $I$ -open sets and $C_{I}^{*}$ -sets. Main properties of $ζ$ - $I$ -open sets are presented.