Characterizations of Paracompact Map
Paracompactness is a tool for splitting of a space. In this paper, new types of maps initiated called a paracompact map, S-paracompact mapping and β-paracompact mapping. The properties of these maps investigated. In addition, the relationships between a paracompact map with other maps discussed, suc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2024-01-01
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| Series: | BIO Web of Conferences |
| Online Access: | https://www.bio-conferences.org/articles/bioconf/pdf/2024/16/bioconf_iscku2024_00169.pdf |
| _version_ | 1797213286805012480 |
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| author | Mahdi Jaber Saad Yasir Mohsin Marwah Hassan Kadhem Hiyam |
| author_facet | Mahdi Jaber Saad Yasir Mohsin Marwah Hassan Kadhem Hiyam |
| author_sort | Mahdi Jaber Saad |
| collection | DOAJ |
| description | Paracompactness is a tool for splitting of a space. In this paper, new types of maps initiated called a paracompact map, S-paracompact mapping and β-paracompact mapping. The properties of these maps investigated. In addition, the relationships between a paracompact map with other maps discussed, such as Bourbaki proper mapping and closed mapping. Moreover, we studied the necessary conditions and properties for satisfying the composition of the new maps with the projection map and constant map are paracompact. The product of two paracompact maps also verified under necessary conditions |
| first_indexed | 2024-04-24T10:55:52Z |
| format | Article |
| id | doaj.art-f41b841171634b09b694af314a2828a9 |
| institution | Directory Open Access Journal |
| issn | 2117-4458 |
| language | English |
| last_indexed | 2024-04-24T10:55:52Z |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | BIO Web of Conferences |
| spelling | doaj.art-f41b841171634b09b694af314a2828a92024-04-12T07:36:29ZengEDP SciencesBIO Web of Conferences2117-44582024-01-01970016910.1051/bioconf/20249700169bioconf_iscku2024_00169Characterizations of Paracompact MapMahdi Jaber Saad0Yasir Mohsin Marwah1Hassan Kadhem Hiyam2Department of Mathematics, Faculty of Education for Pure Science University of WasitDepartment of Mathematics, Directorate-General of Education of WasitDepartment of Computer, Faculty of Education, University of KufaParacompactness is a tool for splitting of a space. In this paper, new types of maps initiated called a paracompact map, S-paracompact mapping and β-paracompact mapping. The properties of these maps investigated. In addition, the relationships between a paracompact map with other maps discussed, such as Bourbaki proper mapping and closed mapping. Moreover, we studied the necessary conditions and properties for satisfying the composition of the new maps with the projection map and constant map are paracompact. The product of two paracompact maps also verified under necessary conditionshttps://www.bio-conferences.org/articles/bioconf/pdf/2024/16/bioconf_iscku2024_00169.pdf |
| spellingShingle | Mahdi Jaber Saad Yasir Mohsin Marwah Hassan Kadhem Hiyam Characterizations of Paracompact Map BIO Web of Conferences |
| title | Characterizations of Paracompact Map |
| title_full | Characterizations of Paracompact Map |
| title_fullStr | Characterizations of Paracompact Map |
| title_full_unstemmed | Characterizations of Paracompact Map |
| title_short | Characterizations of Paracompact Map |
| title_sort | characterizations of paracompact map |
| url | https://www.bio-conferences.org/articles/bioconf/pdf/2024/16/bioconf_iscku2024_00169.pdf |
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