The tree property at successors of singular cardinals

Menachem Magidor; Saharon Shelah

doi:10.1007/s001530050052

The tree property at successors of singular cardinals

Menachem Magidor^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

Assuming some large cardinals, a model of ZFC is obtained in which א_ω+1 carries no Aronszajn trees. It is also shown that if λ is a singular limit of strongly compact cardinals, then λ⁺ carries no Aronszajn trees.

Original language	English
Pages (from-to)	385-404
Number of pages	20
Journal	Archive for Mathematical Logic
Volume	35
Issue number	5-6
DOIs	https://doi.org/10.1007/s001530050052
State	Published - Nov 1996

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abstract = "Assuming some large cardinals, a model of ZFC is obtained in which אω+1 carries no Aronszajn trees. It is also shown that if λ is a singular limit of strongly compact cardinals, then λ+ carries no Aronszajn trees.",

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The tree property at successors of singular cardinals

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