%0 Journal Article %T The canary tree %A Alan H. Mekler %A Saharon Shelah %J Mathematics %D 1993 %I arXiv %X 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. %U http://arxiv.org/abs/math/9308210v1