# Sh:398

- Mekler, A. H., & Shelah, S. (1993).
*The canary tree*. Canad. Math. Bull.,**36**(2), 209–215. arXiv: math/9308210 DOI: 10.4153/CMB-1993-030-6 MR: 1222536 -
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}}, journal = {Canad. Math. Bull.}, fjournal = {Canadian Mathematical Bulletin. Bulletin Canadien de Math\'ematiques}, volume = {36}, number = {2}, year = {1993}, pages = {209--215}, issn = {0008-4395}, mrnumber = {1222536}, mrclass = {03E05 (03E35 03E50 03E75)}, doi = {10.4153/CMB-1993-030-6}, note = {\href{https://arxiv.org/abs/math/9308210}{arXiv: math/9308210}}, arxiv_number = {math/9308210} }