Bounded stationary reflection

Cummings, James; Lambie-Hanson, Chris

doi:10.1090/proc12743

Bounded stationary reflection
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by James Cummings and Chris Lambie-Hanson PDF

Proc. Amer. Math. Soc. 144 (2016), 861-873 Request permission

Abstract:

We prove that, assuming large cardinals, it is consistent that there are many singular cardinals $\mu$ such that every stationary subset of $\mu ^+$ reflects but there are stationary subsets of $\mu ^+$ that do not reflect at ordinals of arbitrarily high cofinality. This answers a question raised by Todd Eisworth.

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