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The tree property at successors of singular cardinals

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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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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University, Jerusalem, Israel, , , , , , IL

    Menachem Magidor & Saharon Shelah

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  1. Menachem Magidor
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  2. Saharon Shelah
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Received August 18, 1996

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Magidor, M., Shelah, S. The tree property at successors of singular cardinals . Arch Math Logic 35, 385–404 (1996). https://doi.org/10.1007/s001530050052

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  • DOI: https://doi.org/10.1007/s001530050052

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