Partitioning a reflecting stationary set

Levine, Maxwell; Rinot, Assaf

doi:10.1090/proc/14783

Partitioning a reflecting stationary set
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by Maxwell Levine and Assaf Rinot PDF

Proc. Amer. Math. Soc. 148 (2020), 3551-3565 Request permission

Abstract:

We address the question of whether a reflecting stationary set may be partitioned into two or more reflecting stationary subsets, providing various affirmative answers in ZFC. As an application to singular cardinal combinatorics, we infer that it is never the case that there exists a singular cardinal all of whose scales are very good.

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