# 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 - No downloadable versions available.

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} }