A solution to the problem of the existence of a dense plastic subset $X\subseteq\mathbb{R}$ of cardinality $|X|<\frak{c}$

Wojciech Bielas

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arXiv · 2512.18948

A solution to the problem of the existence of a dense plastic subset $X\subseteq\mathbb{R}$ of cardinality $|X|<\frak{c}$

Wojciech Bielas

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Abstract

Under the assumption $\frak{c}\geqslant \omega_2$, 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.

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BibTeX RIS

Wojciech Bielas. 2025-12-22. A solution to the problem of the existence of a dense plastic subset $X\subseteq\mathbb{R}$ of cardinality $|X|<\frak{c}$. https://arxiv.org/abs/2512.18948

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