On a theorem by Juh\'asz and Szentmikl\'ossy
General Topology
2013-05-23 v2
Abstract
We extend a theorem by Juh\'asz and Szentmikl\'ossy to notions related to pseudocompactness. We also allow the case when one of the cardinals under consideration is singular. We give an application to the study of decomposable ultrafilters: if \kappa\ is singular, D is a uniform ultrafilter over \kappa ^+, and D' is a uniform ultrafilter over cf \kappa, then D' \times D is \kappa-decomposable.
Keywords
Cite
@article{arxiv.1305.1794,
title = {On a theorem by Juh\'asz and Szentmikl\'ossy},
author = {Paolo Lipparini},
journal= {arXiv preprint arXiv:1305.1794},
year = {2013}
}
Comments
v2, added a section on decomposabilty of ultrafilters, various other improvements