Resolvability and complete accumulation points
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Resolvability and complete accumulation points
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| Автор |
Lipin, A. E.
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| Тематика |
COMPLETEACCUMULATION POINT
COUNTABLY COMPACT SPACE LINDELÖF SPACE RESOLVABILITY |
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| Описание |
We prove that: I. For every regular Lindelöf space X if | X| = Δ (X) and cf | X| ≠ ω , then X is maximally resolvable; II. For every regular countably compact space X if | X| = Δ (X) and cf | X| = ω , then X is maximally resolvable. Here Δ (X) , the dispersion character of X, is the minimum cardinality of a nonempty open subset of X. Statements I and II are corollaries of the main result: for every regular space X if | X| = Δ (X) and every set A⊆ X of cardinality cf | X| has a complete accumulation point, then X is maximally resolvable. Moreover, regularity here can be weakened to π -regularity, and the Lindelöf property can be weakened to the linear Lindelöf property. © 2023, Akadémiai Kiadó, Budapest, Hungary.
Ministry of Education and Science of the Russian Federation, Minobrnauka: 075-02-2023-913 The work was performed as part of research conducted in the Ural Mathematical Center with the financial support of the Ministry of Science and Higher Education of the Russian Federation (Agreement number 075-02-2023-913). |
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| Дата |
2024-04-05T16:31:57Z
2024-04-05T16:31:57Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Lipin, AE 2023, 'Resolvability and complete accumulation points', Acta Mathematica Hungarica, Том. 170, № 2, стр. 661-669. https://doi.org/10.1007/s10474-023-01358-y
Lipin, A. E. (2023). Resolvability and complete accumulation points. Acta Mathematica Hungarica, 170(2), 661-669. https://doi.org/10.1007/s10474-023-01358-y 0236-5294 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85169005990&doi=10.1007%2fs10474-023-01358-y&partnerID=40&md5=6777478a180b71427ec464f8b4f4581f https://arxiv.org/pdf/2301.12748 http://elar.urfu.ru/handle/10995/130745 10.1007/s10474-023-01358-y 85169005990 001070591600012 |
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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 |
Springer Science and Business Media B.V.
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| Источник |
Acta Mathematica Hungarica
Acta Mathematica Hungarica |
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