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Full Reflection at a Measurable Cardinal

Thomas Jech·Jiří Witzany
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Abstract

A stationary subset $S$ of a regular uncountable cardinal $κ$ {\it reflects fully} at regular cardinals if for every stationary set $T \subseteq κ$ of higher order consisting of regular cardinals there exists an $α\in T$ such that $S \cap α$ is a stationary subset of $α$. {\it Full Reflection} states that every stationary set reflects fully at regular cardinals. We will prove that under a slightly weaker assumption than $κ$ having Mitchell order $κ^{++}$ it is consistent that Full Reflection holds at every $λ\leq κ$ and $κ$ is measurable.

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Thomas Jech, Jiří Witzany. 1993-02-25. Full Reflection at a Measurable Cardinal. https://arxiv.org/abs/math/9302202

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