The Borel partition spectrum at successors of singular cardinals

Brian, Will

doi:10.1090/proc/16558

The Borel partition spectrum at successors of singular cardinals
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by Will Brian;

Proc. Amer. Math. Soc. 152 (2024), 855-867

DOI: https://doi.org/10.1090/proc/16558

Published electronically: November 7, 2023

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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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