A Wallace semigroup whose every finite power is countably compact
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arXiv
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| Format: | Preprint |
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2024
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| author | Fuentes-Maguiña, Juan Luis Jaisuño Rodrigues, Vinicius de Oliveira Tomita, Artur Hideyuki |
| author_facet | Fuentes-Maguiña, Juan Luis Jaisuño Rodrigues, Vinicius de Oliveira Tomita, Artur Hideyuki |
| contents | We show that, assuming the existence of $\mathfrak{c}$ incomparable selective ultrafilters, there exists a Wallace semigroup whose infinite countable power is the least power which fails to be countably compact. This answers positively Question 9.4 of \cite{Tomita15}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00205 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Wallace semigroup whose every finite power is countably compact Fuentes-Maguiña, Juan Luis Jaisuño Rodrigues, Vinicius de Oliveira Tomita, Artur Hideyuki General Topology Logic Primary 54D20, 54H11, 22A15, Secondary 54A35, 54G20 We show that, assuming the existence of $\mathfrak{c}$ incomparable selective ultrafilters, there exists a Wallace semigroup whose infinite countable power is the least power which fails to be countably compact. This answers positively Question 9.4 of \cite{Tomita15}. |
| title | A Wallace semigroup whose every finite power is countably compact |
| topic | General Topology Logic Primary 54D20, 54H11, 22A15, Secondary 54A35, 54G20 |
| url | https://arxiv.org/abs/2403.00205 |