{"id":43160,"date":"2026-07-21T07:24:52","date_gmt":"2026-07-21T07:24:52","guid":{"rendered":"https:\/\/uomosul.edu.iq\/en\/computerscience\/?p=43160"},"modified":"2026-07-21T07:24:52","modified_gmt":"2026-07-21T07:24:52","slug":"1-694","status":"publish","type":"post","link":"https:\/\/uomosul.edu.iq\/en\/computerscience\/2026\/07\/21\/1-694\/","title":{"rendered":"Doctorial thesis by &#8221; Shukriya Elias Khidr Al-Hayali\u201d Department of Mathematics"},"content":{"rendered":"<p>Discussion of the Doctorial thesis in the College of Computer Science and Mathematics -Department of (Department of Mathematics) entitled: \u201cZ- Micro Topological Space<strong>\u201d\u00a0 <\/strong><strong>supervised by \u00a0<\/strong><strong>Asst.Prof.Dr. ekram \u00a0<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>We introduce a new type of Micro open sets, called Micro_Z open sets. It is shown that the collection of all such sets forms a topology on the universal set U, giving rise to a new topological space referred to as the Micro -Z -topological space.<\/p>\n<p>Moreover, several classes of \u03bc\u2013open sets are defined, including \u2013open sets. \u00a0Semi\u2013open sets, \u2013open sets, \u2013open sets, \u2013open sets\u00a0 and\u00a0 \u2013open sets. In addition, the relationships among these classes\u00a0 and some of their fundamental properties are investigated.<\/p>\n<p>Through these sets we gave a New definition of continuity, we called it continuity of type Z, and studied its relationships with types of continuity from other types.<\/p>\n<p>We provided many examples and justifications for these functions, and then We found a new application to the space that we presented its definition, which is space (MicroZ\u2013 space)\u00a0 this application relates to type 2 diabetes.<\/p>\n<p>The discussion committee consists of<\/p>\n<ul>\n<li>Dr. Hossm Qasim Mohammed (Chairman)<\/li>\n<li>Dr. Khidr Mohmmed Salih (Member)<\/li>\n<li>Dr. Baraa Mahmoud Sulaiman (Member)<\/li>\n<li>Dr. \u00a0(Member &amp; Supervisor)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Discussion of the Doctorial thesis in the College of Computer Science and Mathematics -Department of (Department of Mathematics) entitled: \u201cZ- Micro Topological Space\u201d\u00a0 supervised by \u00a0Asst.Prof.Dr. ekram \u00a0 &nbsp; We introduce a new type of Micro open sets, called Micro_Z open sets. It is shown that the collection of all such sets forms a topology on the universal set U, giving rise to a new topological space referred to as the Micro -Z -topological space. Moreover, several classes of \u03bc\u2013open sets are defined, including \u2013open sets. \u00a0Semi\u2013open sets, \u2013open sets, \u2013open sets, \u2013open sets\u00a0 and\u00a0 \u2013open sets. In addition, the relationships <a href=\"https:\/\/uomosul.edu.iq\/en\/computerscience\/2026\/07\/21\/1-694\/\"> [Read More]<\/a><\/p>\n","protected":false},"author":24,"featured_media":43161,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-43160","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-viva"],"_links":{"self":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/users\/24"}],"replies":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/comments?post=43160"}],"version-history":[{"count":1,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43160\/revisions"}],"predecessor-version":[{"id":43162,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43160\/revisions\/43162"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media\/43161"}],"wp:attachment":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media?parent=43160"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/categories?post=43160"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/tags?post=43160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}