Sh:562

• Džamonja, M., & Shelah, S. (1995). On squares, outside guessing of clubs and I_{<f}[\lambda]. Fund. Math., 148(2), 165–198. arXiv: math/9510216 DOI: 10.4064/fm-148-2-165-198 MR: 1360144
• 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
• Version 1995-10-27_10 (53p) published version (34p)

@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},
 mrnumber = {1360144},
 mrclass = {03E05 (03E10)},
 doi = {10.4064/fm-148-2-165-198},
 note = {\href{https://arxiv.org/abs/math/9510216}{arXiv: math/9510216}},
 arxiv_number = {math/9510216}
}