A solution to the problem of the existence of a dense plastic subset $X\subseteq\mathbb{R}$ of cardinality $|X|<\frak{c}$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911331623370752 |
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| author | Bielas, Wojciech |
| author_facet | Bielas, Wojciech |
| contents | Under the assumption $\frak{c}\geqslant ω_2$, we give an example of a dense plastic subset $X\subseteq\mathbb{R}$ of cardinality $|X|<\frak{c}$. This answers Problem 1 of arXiv:2510.10537. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18948 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A solution to the problem of the existence of a dense plastic subset $X\subseteq\mathbb{R}$ of cardinality $|X|<\frak{c}$ Bielas, Wojciech General Topology 54E40, 03E50 Under the assumption $\frak{c}\geqslant ω_2$, we give an example of a dense plastic subset $X\subseteq\mathbb{R}$ of cardinality $|X|<\frak{c}$. This answers Problem 1 of arXiv:2510.10537. |
| title | A solution to the problem of the existence of a dense plastic subset $X\subseteq\mathbb{R}$ of cardinality $|X|<\frak{c}$ |
| topic | General Topology 54E40, 03E50 |
| url | https://arxiv.org/abs/2512.18948 |