Juhász, István and van Mill, Jan (2018) On σ-countably tight spaces. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 146 (1). pp. 429-437. ISSN 0002-9939
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Official URL: http://doi.org/10.1090/proc/13682
Abstract
Extending a result of R. de la Vega, we prove that an infinite homogeneous compactum has cardinality c if it is the union of either countably many dense or finitely many arbitrary countably tight subspaces. The question if every infinite homogeneous and σ-countably tight compactum has cardinality c remains open. We also show that if an arbitrary product is σ-countably tight, then all but finitely many of its factors must be countably tight. © 2017 American Mathematical Society.
| Item Type: | Article |
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| Additional Information: | N1 Funding text: This paper derives from the authors’ collaboration at the Rényi Institute in Budapest in the spring of 2016. The second-named author is pleased to thank the Hungarian Academy of Sciences for its generous support in the framework of the distinguished visiting scientists program of the Academy and the Rényi Institute for providing excellent conditions and generous hospitality. The first author also is thankful for the support of the NKFIH grant No. 113047. |
| Uncontrolled Keywords: | homogeneous space; Countably tight space |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 15 Dec 2017 07:40 |
| Last Modified: | 15 Dec 2017 07:40 |
| URI: | http://real.mtak.hu/id/eprint/71096 |
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