The breadth of constructibility degrees and definable Sierpi\'nski's coverings
Generalizing a result of T\"ornquist and Weiss, we study the connection between the existence of $\varSigma_2^1$ Sierpi\'{n}ski's coverings of $\mathbb{R}^n$, and a cardinal invariant of the upper semi-lattice of constructibility degrees known as breadth.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | Generalizing a result of T\"ornquist and Weiss, we study the connection
between the existence of $\varSigma_2^1$ Sierpi\'{n}ski's coverings of
$\mathbb{R}^n$, and a cardinal invariant of the upper semi-lattice of
constructibility degrees known as breadth. |
|---|---|
| DOI: | 10.48550/arxiv.2408.10182 |