Full Reflection of Stationary Sets Below $aleph_omega$

Journal of Symbolic Logic 55 (2):822-830 (1990)
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Abstract

It is consistent that, for every $n \geq 2$, every stationary subset of $\omega_n$ consisting of ordinals of cofinality $\omega_k$, where $k = 0$ or $k \leq n - 3$, reflects fully in the set of ordinals of cofinality $\omega_{n - 1}$. We also show that this result is best possible

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