Irresolvable left topological groups
We prove that an irresolvable left topological group is of the first category. The pseudocharacter of an irresolvable left topological groupG is countable, provided thatG is Abelian or its cardinality is nonmeasurable. Some other cardinal invariants of an irresolvable left topological group are also...
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| Дата: | 2000 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2000
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4470 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510597910626304 |
|---|---|
| author | Protasov, I. V. Протасов, І. В. |
| author_facet | Protasov, I. V. Протасов, І. В. |
| author_sort | Protasov, I. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:37Z |
| description | We prove that an irresolvable left topological group is of the first category. The pseudocharacter of an irresolvable left topological groupG is countable, provided thatG is Abelian or its cardinality is nonmeasurable. Some other cardinal invariants of an irresolvable left topological group are also determined. |
| first_indexed | 2026-03-24T02:59:32Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4470 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:59:32Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/38/72e1a62ea8ab6a9f87f0da248f7e3d38.pdf |
| spelling | umjimathkievua-article-44702020-03-18T20:29:37Z Irresolvable left topological groups Неразложимые левотопологические группы Protasov, I. V. Протасов, І. В. We prove that an irresolvable left topological group is of the first category. The pseudocharacter of an irresolvable left topological groupG is countable, provided thatG is Abelian or its cardinality is nonmeasurable. Some other cardinal invariants of an irresolvable left topological group are also determined. Доведено, що нерозкладна лівотопологічиа ірупа має першу категорію. Псевдохарактер нерозкладної лівотопологічиої групи $G$ злічешшй за умови, що $G$ абелева або її потужність невимірна. Обчислено також деякі інші кардинальні інваріанти нерозкладної лівотопологічної групи. Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4470 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 758–765 Український математичний журнал; Том 52 № 6 (2000); 758–765 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4470/5644 https://umj.imath.kiev.ua/index.php/umj/article/view/4470/5645 Copyright (c) 2000 Protasov I. V. |
| spellingShingle | Protasov, I. V. Протасов, І. В. Irresolvable left topological groups |
| title | Irresolvable left topological groups |
| title_alt | Неразложимые левотопологические группы |
| title_full | Irresolvable left topological groups |
| title_fullStr | Irresolvable left topological groups |
| title_full_unstemmed | Irresolvable left topological groups |
| title_short | Irresolvable left topological groups |
| title_sort | irresolvable left topological groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4470 |
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