English

The breadth of constructibility degrees and definable Sierpi\'nski's coverings

Logic 2025-12-01 v2

Abstract

Generalizing a result of T\"ornquist and Weiss, we study the connection between the existence of Σ21\varSigma_2^1 Sierpi\'{n}ski's coverings of Rn\mathbb{R}^n, and a cardinal invariant of the upper semi-lattice of constructibility degrees known as breadth.

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Cite

@article{arxiv.2408.10182,
  title  = {The breadth of constructibility degrees and definable Sierpi\'nski's coverings},
  author = {Alessandro Andretta and Lorenzo Notaro},
  journal= {arXiv preprint arXiv:2408.10182},
  year   = {2025}
}

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14 pages