vix.ing · top · new · best · stats · spec

Partitioning a reflecting stationary set

2019/07/19 by Levine, Maxwell, Rinot, Assaf
#FOS: Mathematics #Logic (math.LO) #Primary 03E05 #Secondary 03E04

paper · doi:10.48550/arxiv.1907.08581

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 cardinals combinatorics, we infer that it is never the case that there exists a singular cardinal all of whose scales are very good.

Related