# Sh:398

• Mekler, A. H., & Shelah, S. (1993). The canary tree. Canad. Math. Bull., 36(2), 209–215.
• 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.
• Version 1993-08-27_10 (10p) published version (7p)
Bib entry
@article{Sh:398,
author = {Mekler, Alan H. and Shelah, Saharon},
title = {{The canary tree}},
}