Sh:324

• Magidor, M., & Shelah, S. (1996). The tree property at successors of singular cardinals. Arch. Math. Logic, 35(5-6), 385–404.
• Abstract:
Assuming some large cardinals, a model of ZFC is obtained in which \aleph_{omega+1} carries no Aronszajn trees. It is also shown that if \lambda is a singular limit of strongly compact cardinals, then \lambda^+ carries no Aronszajn trees.
• published version (20p)
Bib entry
@article{Sh:324,
author = {Magidor, Menachem and Shelah, Saharon},
title = {{The tree property at successors of singular cardinals}},
journal = {Arch. Math. Logic},
fjournal = {Archive for Mathematical Logic},
volume = {35},
number = {5-6},
year = {1996},
pages = {385--404},
issn = {0933-5846},
doi = {10.1007/s001530050052},
mrclass = {03E05 (03E35 04A20)},
mrnumber = {1420265},
mrreviewer = {Marion Scheepers},
doi = {10.1007/s001530050052},
note = {\href{https://arxiv.org/abs/math/9501220}{arXiv: math/9501220}},
arxiv_number = {math/9501220}
}