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The tree property at successors of singular cardinals

Menachem Magidor·Saharon Shelah
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Abstract

Assuming some large cardinals, a model of ZFC is obtained in which aleph_{omega+1} carries no Aronszajn trees. It is also shown that if lambda is a singular limit of strongly compact cardinals, then lambda^+ carries no Aronszajn trees.

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Menachem Magidor, Saharon Shelah. 1995-01-15. The tree property at successors of singular cardinals. https://arxiv.org/abs/math/9501220

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