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The canary tree

A canary tree is a tree of cardinality the continuum which has no uncountable branch, but gains a branch whenever a stationary set is destroyed (without adding reals). Canary trees are important in infinitary model theory. The existence of a canary tree is independent of ZFC + GCH.

4 nodes3 linksoverview mapThe canary tree
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4 nodes3 links
The canary tree4 visible / 4 total nodes / 4 links
Co-authorshipAuthorshipAuthorshipTopic signalWThe canary treepreprint / 1993AAlan H. MeklerResearcherASaharon ShelahResearcherTmath.LO1661 works
PaperSignal 103 links

The canary tree

preprint / 1993

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