Some Observations on the Mildly Menger Property and Topological Games
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Some Observations on the Mildly Menger Property and Topological Games
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| Автор |
Bhardwaj, M.
Osipov, A. V. |
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| Тематика |
COMPACT-CLOPEN GAME
K-QUASI-COMPONENT-CLOPEN GAME MENGER GAME MENGER SPACE MILDLY MENGER GAME MILDLY MENGER SPACE SELECTION PRINCIPLES ZERO-DIMENSIONAL SPACE |
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| Описание |
In this paper, we defined two new games-the mildly Menger game and the compact-clopen game. In a zero-dimensional space, the Menger game is equivalent to the mildly Menger game and the compact-open game is equivalent to the compact-clopen game. An example is given for a space on which the mildly Menger game is undetermined. Also we introduced a new game namely K-quasi-componentclopen game and proved that this game is equivalent to the compact-clopen game. Then we proved that if a topological space is a union of countably many quasi-components of compact sets, then TWO has a winning strategy in the mildly Menger game. © 2022, University of Nis. All rights reserved.
Ministry of Education and Science of the Russian Federation, Minobrnauka The authors would like to thank the referee for careful reading and valuable comments. The research funding from the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program) is gratefully acknowledged. |
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| Дата |
2024-04-08T11:05:36Z
2024-04-08T11:05:36Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Bhardwaj, M & Osipov, AV 2022, 'Some Observations on the Mildly Menger Property and Topological Games', Filomat, Том. 36, № 15, стр. 5289-5296. https://doi.org/10.2298/FIL2215289B
Bhardwaj, M., & Osipov, A. V. (2022). Some Observations on the Mildly Menger Property and Topological Games. Filomat, 36(15), 5289-5296. https://doi.org/10.2298/FIL2215289B 0354-5180 Final All Open Access; Bronze Open Access; Green Open Access http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802215289B http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802215289B http://elar.urfu.ru/handle/10995/131183 10.2298/FIL2215289B 85146285973 000906943600020 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
University of Nis
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| Источник |
Filomat
Filomat |
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