Embeddings into countably compact Hausdorff spaces
UDC 515.122 We consider the problem of characterization of topological spaces  embedded into countably compact Hausdorff topological spaces. We study the separation axioms for subspaces of Hausdorff countably compact topological spaces and construct an example of a regular separable sca...
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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2283 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860508214615867392 |
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| author | Banakh, Taras Bardyla, Serhii Ravsky, Alex Banakh, Taras Bardyla, Serhii Ravsky, Alex |
| author_facet | Banakh, Taras Bardyla, Serhii Ravsky, Alex Banakh, Taras Bardyla, Serhii Ravsky, Alex |
| author_sort | Banakh, Taras |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:34:32Z |
| description | UDC 515.122
We consider the problem of characterization of topological spaces  embedded into countably compact Hausdorff topological spaces. We study the separation axioms for subspaces of Hausdorff countably compact topological spaces and construct an example of a regular separable scattered topological space that cannot be embedded into a Urysohn countably compact topological space. |
| doi_str_mv | 10.3842/umzh.v75i8.2283 |
| first_indexed | 2026-03-24T02:21:39Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-2283 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:21:39Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-22832024-06-19T00:34:32Z Embeddings into countably compact Hausdorff spaces Embeddings into countably compact Hausdorff spaces Banakh, Taras Bardyla, Serhii Ravsky, Alex Banakh, Taras Bardyla, Serhii Ravsky, Alex HAUSDORFF SPACES UDC 515.122 We consider the problem of characterization of topological spaces  embedded into countably compact Hausdorff topological spaces. We study the separation axioms for subspaces of Hausdorff countably compact topological spaces and construct an example of a regular separable scattered topological space that cannot be embedded into a Urysohn countably compact topological space. УДК 515.122 Вкладення в зліченно компактні гаусдорфові простори Розглянуто проблему характеризації топологічних просторів, що вкладаються в зліченно компактні гаусдорфові топологічні простори. Вивчаються аксіоми відокремлення підпросторів зліченно компактних гаусдорфових топологічних просторів та побудовано приклад регулярного сепарабельного розрідженого топологічного простору, який не вкладається у зліченно компактний топологічний простір Урисона. Institute of Mathematics, NAS of Ukraine 2023-08-30 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/2283 10.3842/umzh.v75i8.2283 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 8 (2023); 1032 - 1042 Український математичний журнал; Том 75 № 8 (2023); 1032 - 1042 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/2283/9738 Copyright (c) 2023 Serhii Bardyla |
| spellingShingle | Banakh, Taras Bardyla, Serhii Ravsky, Alex Banakh, Taras Bardyla, Serhii Ravsky, Alex Embeddings into countably compact Hausdorff spaces |
| title | Embeddings into countably compact Hausdorff spaces |
| title_alt | Embeddings into countably compact Hausdorff spaces |
| title_full | Embeddings into countably compact Hausdorff spaces |
| title_fullStr | Embeddings into countably compact Hausdorff spaces |
| title_full_unstemmed | Embeddings into countably compact Hausdorff spaces |
| title_short | Embeddings into countably compact Hausdorff spaces |
| title_sort | embeddings into countably compact hausdorff spaces |
| topic_facet | HAUSDORFF SPACES |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/2283 |
| work_keys_str_mv | AT banakhtaras embeddingsintocountablycompacthausdorffspaces AT bardylaserhii embeddingsintocountablycompacthausdorffspaces AT ravskyalex embeddingsintocountablycompacthausdorffspaces AT banakhtaras embeddingsintocountablycompacthausdorffspaces AT bardylaserhii embeddingsintocountablycompacthausdorffspaces AT ravskyalex embeddingsintocountablycompacthausdorffspaces |