The canary tree revisited

We generalize the result of Mekler and Shelah [3] that the existence of a canary tree is independent of ZFC + GCH to uncountable regular cardinals. We also correct an error from the original proof.

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Bibliographic Details
Published in:The Journal of symbolic logic 2001-12, Vol.66 (4), p.1677-1694
Main Authors: Hyttinen, Tapani, Rautila, Mika
Format: Article
Language:English
Subjects:
Cardinality
Increasing sequences
Induced substructures
Mathematical functions
Mathematical logic
Mathematical sequences
Mathematics
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Summary:We generalize the result of Mekler and Shelah [3] that the existence of a canary tree is independent of ZFC + GCH to uncountable regular cardinals. We also correct an error from the original proof.
ISSN:0022-4812
1943-5886
DOI:10.2307/2694968