English

Partitioning a reflecting stationary set

Logic 2019-07-22 v1

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.

Keywords

Cite

@article{arxiv.1907.08581,
  title  = {Partitioning a reflecting stationary set},
  author = {Maxwell Levine and Assaf Rinot},
  journal= {arXiv preprint arXiv:1907.08581},
  year   = {2019}
}
R2 v1 2026-06-23T10:25:26.240Z