Document Details

Document Type : Thesis 
Document Title :
C-paracompact and C_2-paracompact Topological Spaces
الفراغات التوبولوجية C و C2 للتراص الفوقي
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : In this dissertation, we study and discuss two new topological properties, which introduced by Arhangel’skii . They are C-paracompactness and C_2-paracompactness. We give a comperhensive study of these two properties. We start by studying the continuity of their witness functions and show the independence of C-paracompactness and C_2-paracompactness with other similar properties such as paracompactness and C-normality. Then we study their additive and hereditary . We study also the relationship of these two properties with other topological properties such as minimality of Hausdorff compactness topology, epinormality , and submertizability . By studying their multiplicity , we answer , in positive , a suggested problem of Arhangel’skii which is the following statement “Is there a T_4 space which is not C_2-paracompactness ? " This allows us to give another main result which is the following statement: “The sigma product space ∑▒〖(())〗 cannot be condensed onto a T_2 paracompact (normal) space." 
Supervisor : Dr. Lutfi Kalantan 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2019 AD 
Added Date : Wednesday, September 25, 2019 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
هالة زكي الزمعيAlzumi, Hala ZakiResearcherDoctorate 

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