Partitioning a reflecting stationary set

  title={Partitioning a reflecting stationary set},
  author={Maxwell Levine and Assaf Rinot},
  journal={Proceedings of the American Mathematical Society},
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. 
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