Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces
In this paper, we contribute to infrasoft topology which is one of the recent generalizations of soft topology. Firstly, we redefine the concept of soft mappings to be convenient for studying the topological concepts and notions in different soft structures. Then, we introduce the concepts of open,...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3388288 |
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| author | Tareq M. Al-shami |
| author_facet | Tareq M. Al-shami |
| author_sort | Tareq M. Al-shami |
| collection | DOAJ |
| description | In this paper, we contribute to infrasoft topology which is one of the recent generalizations of soft topology. Firstly, we redefine the concept of soft mappings to be convenient for studying the topological concepts and notions in different soft structures. Then, we introduce the concepts of open, closed, and homeomorphism mappings in the content of infrasoft topology. We establish main properties and investigate the transmission of these concepts between infrasoft topology and its parametric infratopologies. Finally, we define a quotient infrasoft topology and infrasoft quotient mappings and study their main properties with the aid of illustrative examples. |
| format | Article |
| id | doaj-art-8ed560e257bd4800b098472076fd90c4 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8ed560e257bd4800b098472076fd90c42025-02-03T01:04:11ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/33882883388288Homeomorphism and Quotient Mappings in Infrasoft Topological SpacesTareq M. Al-shami0Department of Mathematics, Sana’a University, Sana’a, YemenIn this paper, we contribute to infrasoft topology which is one of the recent generalizations of soft topology. Firstly, we redefine the concept of soft mappings to be convenient for studying the topological concepts and notions in different soft structures. Then, we introduce the concepts of open, closed, and homeomorphism mappings in the content of infrasoft topology. We establish main properties and investigate the transmission of these concepts between infrasoft topology and its parametric infratopologies. Finally, we define a quotient infrasoft topology and infrasoft quotient mappings and study their main properties with the aid of illustrative examples.http://dx.doi.org/10.1155/2021/3388288 |
| spellingShingle | Tareq M. Al-shami Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces Journal of Mathematics |
| title | Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces |
| title_full | Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces |
| title_fullStr | Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces |
| title_full_unstemmed | Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces |
| title_short | Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces |
| title_sort | homeomorphism and quotient mappings in infrasoft topological spaces |
| url | http://dx.doi.org/10.1155/2021/3388288 |
| work_keys_str_mv | AT tareqmalshami homeomorphismandquotientmappingsininfrasofttopologicalspaces |