Square Compactness and the filter extension property
Logic
2020-04-09 v2 General Topology
Abstract
We show that the consistency strength of being -square compact is at least weak compact and strictly less than indescribable. This is the first known improvement to the upper bound of strong compactness obtained in 1973 by Hajnal and Juh{\' a}sz.
Cite
@article{arxiv.1909.05474,
title = {Square Compactness and the filter extension property},
author = {David Buhagiar and Mirna Džamonja},
journal= {arXiv preprint arXiv:1909.05474},
year = {2020}
}
Comments
This version incorporates referee's comments and some new references. No major mathematical changes have been made