Geodesic
The Canary Tree
Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 209-215

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DOI

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.
DOI : 10.4153/CMB-1993-030-6
Mots-clés : 03E35 (03C75) 
Mekler, Alan H.; Shelah, Saharon. The Canary Tree. Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 209-215. doi: 10.4153/CMB-1993-030-6
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