<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-1562</article-id>
      <title-group>
        <article-title>Micro topological space with grill-generalized open sets</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Saleh</surname>
            <given-names>Ekram A.</given-names>
          </name>
          <aff>Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sulaiman</surname>
            <given-names>Barah M.</given-names>
          </name>
          <aff>Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Fawze</surname>
            <given-names>Ahmed A. Mohammed</given-names>
          </name>
          <aff>Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>26</volume>
      <issue>7</issue>
      <fpage>1439</fpage>
      <lpage>1447</lpage>
      <pub-date date-type="pub">
        <day>28</day>
        <month>10</month>
        <year>2023</year>
      </pub-date>
      <abstract>
        <p>In the present paper, we define the concept of micro-Gg-open and micro-Gg-closed sets by using micro topological space, and several properties of that set are studied, so we introduce micro-Ggγ-open set and micro-Ggϖ- closed set and denoted of micro-Gg-open set by mic-GgO(U), micro-Gg-closed set by mic-GgC(U) several theories that true and examples to the contrary are not true. We also studied a practical example of a micro-Gg-open set and a micro-Gg-closed set.</p>
      </abstract>
      <kwd-group>
        <kwd>mic-GgO-set</kwd>
        <kwd>mic–GgC-set</kwd>
        <kwd>mic–Ggγ-set</kwd>
        <kwd>mic–Ggϖ-set</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
