About uniformly Lindelöf spaces
The idea of Lindelöfness is one of the most important in General Topology. There have been some variants in defining uniformly Lindelöfness of uniform spaces. For example, uniform A-Lindelöfness in the sense of L.V. Aparina [1], uniform B-Lindelöfness in the sense of A.A. Borubaev [2], uniform I-Lin...
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EJAAM
2021-11-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2021/10.2478-ejaam-2021-0003.pdf |
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| author | Bekbolot E. Kanetov Ulukbek A. Saktanov Meerim O. Zhanakunova |
| author_facet | Bekbolot E. Kanetov Ulukbek A. Saktanov Meerim O. Zhanakunova |
| author_sort | Bekbolot E. Kanetov |
| collection | DOAJ |
| description | The idea of Lindelöfness is one of the most important in General Topology. There have been some variants in defining uniformly Lindelöfness of uniform spaces. For example, uniform A-Lindelöfness in the sense of L.V. Aparina [1], uniform B-Lindelöfness in the sense of A.A. Borubaev [2], uniform I-Lindelöfness in the sense of D.R. Isbell [5]. In this paper we propose a new approach to the definition of a uniform analogue of Lindelöfness. We introduce and study uniformly Lindelöf spaces. |
| format | Article |
| id | doaj-art-98b9aebf2ac2487da717a58b75c6ef7d |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2021-11-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-98b9aebf2ac2487da717a58b75c6ef7d2025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902021-11-01202110.2478/ejaam-2021-0003About uniformly Lindelöf spacesBekbolot E. Kanetov0Ulukbek A. Saktanov1Meerim O. Zhanakunova2Jusup Balasagyn Kyrgyz National University, Bishkek, KyrgyzstanOsh State University, Osh, KyrgyzstanKuseyin Karasaev Bishkek Humanities University, Bishkek, KyrgyzstanThe idea of Lindelöfness is one of the most important in General Topology. There have been some variants in defining uniformly Lindelöfness of uniform spaces. For example, uniform A-Lindelöfness in the sense of L.V. Aparina [1], uniform B-Lindelöfness in the sense of A.A. Borubaev [2], uniform I-Lindelöfness in the sense of D.R. Isbell [5]. In this paper we propose a new approach to the definition of a uniform analogue of Lindelöfness. We introduce and study uniformly Lindelöf spaces.https://ejaam.org/articles/2021/10.2478-ejaam-2021-0003.pdffinitely-additive open coveringlocally finite uniform coveringℵ0-boundednessuniformly perfect mappings |
| spellingShingle | Bekbolot E. Kanetov Ulukbek A. Saktanov Meerim O. Zhanakunova About uniformly Lindelöf spaces E-Journal of Analysis and Applied Mathematics finitely-additive open covering locally finite uniform covering ℵ0-boundedness uniformly perfect mappings |
| title | About uniformly Lindelöf spaces |
| title_full | About uniformly Lindelöf spaces |
| title_fullStr | About uniformly Lindelöf spaces |
| title_full_unstemmed | About uniformly Lindelöf spaces |
| title_short | About uniformly Lindelöf spaces |
| title_sort | about uniformly lindelof spaces |
| topic | finitely-additive open covering locally finite uniform covering ℵ0-boundedness uniformly perfect mappings |
| url | https://ejaam.org/articles/2021/10.2478-ejaam-2021-0003.pdf |
| work_keys_str_mv | AT bekbolotekanetov aboutuniformlylindelofspaces AT ulukbekasaktanov aboutuniformlylindelofspaces AT meerimozhanakunova aboutuniformlylindelofspaces |