# Sh:562

• Džamonja, M., & Shelah, S. (1995). On squares, outside guessing of clubs and I_{<f}[\lambda]. Fund. Math., 148(2), 165–198.
• Abstract:
Suppose that \lambda=\mu^+. We consider two aspects of the square property on subsets of \lambda. First, we have results which show e.g. that for \aleph_0\le\kappa=cf (\kappa)< \mu, the equality cf([\mu]^{\le\kappa},\subseteq)=\mu is a sufficient condition for the set of elements of \lambda whose cofinality is bounded by \kappa, to be split into the union of \mu sets with squares. Secondly, we introduce a certain weak version of the square property and prove that if \mu is a strong limit, then this weak square property holds on \lambda without any additional assumptions
Bib entry
@article{Sh:562,
author = {D{\v{z}}amonja, Mirna and Shelah, Saharon},
title = {{On squares, outside guessing of clubs and $I_{<f}[\lambda]$}},
journal = {Fund. Math.},
fjournal = {Fundamenta Mathematicae},
volume = {148},
number = {2},
year = {1995},
pages = {165--198},
issn = {0016-2736},
doi = {10.4064/fm-148-2-165-198},
mrclass = {03E05 (03E10)},
mrnumber = {1360144},
mrreviewer = {Carlos A. Di Prisco},
doi = {10.4064/fm-148-2-165-198},
note = {\href{https://arxiv.org/abs/math/9510216}{arXiv: math/9510216}},
arxiv_number = {math/9510216}
}