%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