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The Canary Tree

  • Mekler A
  • Shelah S
Canadian Mathematical Bulletin (1993) 36(2) 209-215
DOI: 10.4153/cmb-1993-030-6
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Abstract

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.

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Mekler, A. H., & Shelah, S. (1993). The Canary Tree. Canadian Mathematical Bulletin, 36(2), 209–215. https://doi.org/10.4153/cmb-1993-030-6

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