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)

@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}
}