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arXiv · 2210.11962

The Borel partition spectrum at successors of singular cardinals

Will Brian
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Abstract

Assuming that $0^\dagger$ does not exist, we prove that if there is a partition of $\mathbb R$ into $\aleph_\omega$ Borel sets, then there is also a partition of $\mathbb R$ into $\aleph_{\omega+1}$ Borel sets.

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Will Brian. 2022-10-21. The Borel partition spectrum at successors of singular cardinals. https://arxiv.org/abs/2210.11962

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