Saturated filters at successors of singulars, weak reflection and yet another weak club principle
Logic
2008-02-03 v1
Abstract
Suppose that lambda is the successor of a singular cardinal mu whose cofinality is an uncountable cardinal kappa. We give a sufficient condition that the club filter of lambda concentrating on the points of cofinality kappa is not lambda^+-saturated. The condition is phrased in terms of a notion that we call weak reflection. We discuss various properties of weak reflection
Keywords
Cite
@article{arxiv.math/9601219,
title = {Saturated filters at successors of singulars, weak reflection and yet another weak club principle},
author = {Mirna Džamonja and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9601219},
year = {2008}
}