Partitioning a reflecting stationary set

Joint work with Maxwell Levine.

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.

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Citation information:

M. Levine and A. Rinot, Partitioning a reflecting stationary set, Proc. Amer. Math. Soc., 148(8): 3551–3565, 2020.

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One Response to Partitioning a reflecting stationary set

  1. saf says:

    Submitted to Proc. Amer. Math. Soc., February 2019.
    Accepted, July 2019.

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