About uniformly Menger spaces
Precompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invariants studied in the uniform topology. The theory of these invariants is wide and continues to develop. However, in a sens...
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| Format: | Article |
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University of Kragujevac, Faculty of Technical Sciences Čačak
2024-01-01
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| Series: | Mathematica Moravica |
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| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401053K.pdf |
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| author | Kanetov Bekbolot Kanetova Dinara Baidzhuranova Anara |
| author_facet | Kanetov Bekbolot Kanetova Dinara Baidzhuranova Anara |
| author_sort | Kanetov Bekbolot |
| collection | DOAJ |
| description | Precompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invariants studied in the uniform topology. The theory of these invariants is wide and continues to develop. However, in a sense, the class of uniformly Menger spaces escaped the attention of researchers. Lj.D.R. Kočinac was the first who introduced and studied the class of uniformly Menger spaces in [3, 4]. It immediately follows from the definition that the class of uniformly Menger spaces lies between the class of precompact uniform spaces and the class of pre-Lindelöf uniform spaces. Therefore, we expect it to have many good properties. In this paper some important properties of the uniformly Menger spaces are investigated. In particular, it is established that under uniformly perfect mappings, the uniformly Menger property is preserved both in the image and the preimage direction. |
| format | Article |
| id | doaj-art-4c6a30f5d8c24c5a9379c6c561fee075 |
| institution | OA Journals |
| issn | 1450-5932 2560-5542 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | University of Kragujevac, Faculty of Technical Sciences Čačak |
| record_format | Article |
| series | Mathematica Moravica |
| spelling | doaj-art-4c6a30f5d8c24c5a9379c6c561fee0752025-08-20T02:23:36ZengUniversity of Kragujevac, Faculty of Technical Sciences ČačakMathematica Moravica1450-59322560-55422024-01-01281536110.5937/MatMor2401053K1450-59322401053KAbout uniformly Menger spacesKanetov Bekbolot0Kanetova Dinara1Baidzhuranova Anara2Kyrgyz National University named after Jusup Balasagyn, Bishkek, KyrgyzstanScientific Research Medical Social Institute, Jalal-Abad, KyrgyzstanInternational Higher School of Medicine, Bishkek, KyrgyzstanPrecompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invariants studied in the uniform topology. The theory of these invariants is wide and continues to develop. However, in a sense, the class of uniformly Menger spaces escaped the attention of researchers. Lj.D.R. Kočinac was the first who introduced and studied the class of uniformly Menger spaces in [3, 4]. It immediately follows from the definition that the class of uniformly Menger spaces lies between the class of precompact uniform spaces and the class of pre-Lindelöf uniform spaces. Therefore, we expect it to have many good properties. In this paper some important properties of the uniformly Menger spaces are investigated. In particular, it is established that under uniformly perfect mappings, the uniformly Menger property is preserved both in the image and the preimage direction.https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401053K.pdfuniform spaceuniform menger spaceuniformly continuous mappinguniformly perfect mapping |
| spellingShingle | Kanetov Bekbolot Kanetova Dinara Baidzhuranova Anara About uniformly Menger spaces Mathematica Moravica uniform space uniform menger space uniformly continuous mapping uniformly perfect mapping |
| title | About uniformly Menger spaces |
| title_full | About uniformly Menger spaces |
| title_fullStr | About uniformly Menger spaces |
| title_full_unstemmed | About uniformly Menger spaces |
| title_short | About uniformly Menger spaces |
| title_sort | about uniformly menger spaces |
| topic | uniform space uniform menger space uniformly continuous mapping uniformly perfect mapping |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401053K.pdf |
| work_keys_str_mv | AT kanetovbekbolot aboutuniformlymengerspaces AT kanetovadinara aboutuniformlymengerspaces AT baidzhuranovaanara aboutuniformlymengerspaces |