{"id":28913,"date":"2020-01-04T19:55:28","date_gmt":"2020-01-04T16:55:28","guid":{"rendered":"http:\/\/ihcoedu.uobaghdad.edu.iq\/?p=28913"},"modified":"2020-02-13T12:34:17","modified_gmt":"2020-02-13T09:34:17","slug":"%d9%85%d9%86%d8%a7%d9%82%d8%b4%d8%a9-%d8%b1%d8%b3%d8%a7%d9%84%d8%a9-%d9%85%d8%a7%d8%ac%d8%b3%d8%aa%d9%8a%d8%b1-%d8%aa%d8%a8%d8%ad%d8%ab-%d9%81%d9%8a-%d9%88%d8%aa%d8%b9%d9%85%d9%8a%d9%85%d8%a7%d8%aa","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=28913","title":{"rendered":"\u0645\u0646\u0627\u0642\u0634\u0629 \u0631\u0633\u0627\u0644\u0629 \u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u062a\u0628\u062d\u062b \u0641\u064a \u0628\u0639\u0636 \u0627\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062a\u0627\u0645\u0629 \u0648\u062a\u0639\u0645\u064a\u0645\u0627\u062a\u0647\u0627"},"content":{"rendered":"

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    \u0645\u0646 \u062c\u0627\u0646\u0628 \u0627\u062e\u0631 \u062f\u0631\u0633\u0646\u0627 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062a\u0627\u0645\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 \u03c9\u2013\u0627\u0644\u0642\u0648\u064a\u0629 \u0648\u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062a\u0627\u0645\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 -\u03c9 \u00a0q \u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0627\u0644\u062a\u0627\u0645\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 -\u03c9 \u00a0\u00a0q\u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0642\u0648\u064a\u0629 \u0627\u0644\u062a\u0627\u0645\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 \u03c9- -q \u0648\u0637\u0648\u0631\u0646\u0627 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0648\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646\u0647\u0645 \u0648\u0643\u0630\u0644\u0643 \u0628\u0639\u0636 \u0627\u0644\u062a\u0639\u0645\u064a\u0645\u0627\u062a \u0627\u0644\u062c\u062f\u064a\u062f\u0629 \u0644\u0628\u0639\u0636 \u0627\u0644\u062a\u0639\u0627\u0631\u064a\u0641. \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0641\u064a \u0646\u0642\u0637\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637\u00a0 \u00a0j-\u03c9 \u0648\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0645\u0648\u062c\u0647 \u0644\u0645\u062c\u0645\u0648\u0639\u0647 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 j-\u03c9 \u00a0\u00a0\u0648\u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u0645\u062c\u0645\u0648\u0639\u0647 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 j-\u03c9\u00a0\u00a0 \u0648\u0646\u0642\u0637\u0629 \u0627\u0644\u0639\u0646\u0642\u0648\u062f \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 j-\u03c9 \u0648\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0627\u0646\u063a\u0644\u0627\u0642 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637\u00a0\u00a0 j-\u03c9-H \u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0627\u0644\u0645\u063a\u0644\u0642\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 \u00a0j-\u03c9\u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 \u00a0j-\u03c9 \u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u062a\u0631\u0627\u0635\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 \u00a0j-\u03c9\u00a0 \u0648\u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0645\u062a\u0635\u0644\u0628\u0629\u00a0 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 \u00a0j-\u03c9 \u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u063a\u0644\u0642\u0629 \u0645\u0646\u00a0 \u0627\u0644\u0646\u0645\u0637 \u00a0j-\u03c9 \u0648 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062a\u0627\u0645\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 \u00a0j-\u03c9.<\/span><\/h4>\n

    \u0648\u0623\u062e\u064a\u0631\u0627\u060c \u0628\u064a\u0646\u0627 \u0628\u0639\u0636 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u062a\u0648\u0628\u0648\u0644\u0648\u062c\u064a\u0627 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0648\u0627\u0644\u062a\u064a \u0647\u064a \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u062c\u0632\u0626\u064a\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 nm-j-\u03c9 \u00a0\u0648\u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u0645\u0648\u062c\u0647 \u0644\u0645\u062c\u0645\u0648\u0639\u0647 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 nm-j-\u03c9 \u00a0\u0648 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u063a\u0644\u0642\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 nm-j-\u03c9 \u0648\u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0645\u062a\u0635\u0644\u0628\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 \u00a0nm- j-\u03c9- \u0648\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 nm-j-\u03c9 \u0648\u0645\u0641\u0627\u0647\u064a\u0645 \u0647\u0630\u0627 \u0627\u0644\u0639\u0645\u0644 \u0644\u062a\u0643\u0648\u064a\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062a\u0627\u0645\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 nm-j-\u03c9 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u0627\u062a \u0627\u0644\u062a\u0648\u0628\u0648\u0644\u0648\u062c\u064a\u0627 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629\u00a0 ,\u062d\u064a\u062b j =\u00a0 q \u03b4, a, pre, b, ,b.<\/span><\/h4>\n
    \n

    Some Types of Perfect Mappings and Generalizations<\/span><\/h3>\n

    By: Ghidaa Sadoon Ashaea<\/span><\/h3>\n

    Supervised by: Asst. Prof. Dr. Yousif Yaqoub Yousif<\/span><\/h3>\n

    Abstract<\/span><\/h3>\n

    \u00a0\u00a0\u00a0 \u00a0\u00a0The aim of this thesis is to study some types of perfect mappings. First, we introduce new kinds of perfect mappings, supra-perfect mappings (shortly, j-perfect) and supra-\u03c9-perfect mappings (shortly, j-\u03c9-perfect). Furthermore, we establish the relationship between j-perfect and j-\u03c9-perfect mappings. Finally, certain theorems and characterization concerning these concepts are introduced.<\/span><\/h3>\n

    \u00a0On the other hand, we study weakly-strongly forms of \u03c9-perfect mappings, namely, q-\u03c9-perfect mappings, weakly q-\u03c9-perfect mappings and strongly q-\u03c9-perfect mappings; also, we investigate their fundamental properties. And the relationship between weakly q-\u03c9-perfect mappings and strongly q -\u03c9-perfect mappings. As well as, some new generalizations of some definitions are presented which are, j-\u03c9-closure converge to a point,\u00a0 j-\u03c9-closure directed toward a set, almost\u00a0 j-\u03c9-converges to a set, almost j-\u03c9-cluster point, a set j-\u03c9-H-closed relative, j-\u03c9-closure continuous mappings, j-\u03c9-weakly continuous mappings, j-\u03c9-compact mappings, j-\u03c9-rigid a set, almost j-\u03c9-closed mappings and\u00a0 j-\u03c9-perfect mappings.<\/span><\/h3>\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Finally, we show that some concepts in bitopological spaces which are nm- j-\u03c9-converges to a subset, nm- j-\u03c9-directed toward a set, nm- j-\u03c9-closed mappings, nm- j-\u03c9-rigid set, nm- j-\u03c9-continuous mappings and the main concept in this work is nm- j-\u03c9-perfect mappings in bitopological spaces. Where j = q , \u03b4, a , pre, b, b.\u00a0 \u00a0\u00a0<\/span>\u00a0 \u00a0<\/span><\/h3>\n

    \u00a0\u00a0\u00a0\u00a0\u00a0 The purpose<\/span><\/h3>\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 The main purpose of this thesis is the starting point for some application of perfect mappings, namely j-perfect mappings and j-\u03c9-perfect mappings. We define weakly and strongly form of \u03c9-perfect mappings, namely q-\u03c9-perfect mappings, weakly q-\u03c9-perfect mappings and strongly q-\u03c9-perfect mappings; also, we investigate their fundamental properties. Finally, we study the relationship between them. In addition, some new generalizations of some definitions, and used pairwise supra-\u03c9-perfect mappings of abstract topological structures in filter base by using bitopological spaces. We used definitions of characterizations theorems for an nm- j-\u03c9-continuous mapping and weakly nm- j-\u03c9-continuous mapping and strongly nm- j-\u03c9-continuous mapping and super nm- j-\u03c9-continuous mapping and almost nm- j-\u03c9-continuous mapping. Finally, certain theorems and characterization concerning these concepts are studied; j\u00a0 = q, \u03b4, \u03b1, pre, b, \u03b2<\/span><\/h3>\n","protected":false},"excerpt":{"rendered":"

    \u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 (\u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 ( \u00a0\u0628\u0639\u0636….<\/i>\u0627\u0644\u0645\u0632\u064a\u062f<\/span><\/a><\/p>\n","protected":false},"author":25,"featured_media":28915,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"","footnotes":""},"categories":[7,16],"tags":[23],"class_list":["post-28913","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7","category-16","tag-ihcoedu"],"modified_by":"ihcoedu","_links":{"self":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/28913","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/users\/25"}],"replies":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=28913"}],"version-history":[{"count":0,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/28913\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/media\/28915"}],"wp:attachment":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28913"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28913"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28913"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}