Saturated filters at successors of singulars, weak reflection and yet another weak club principle

by Dzamonja and Shelah. [DjSh:545]
Annals Pure and Applied Logic, 1996
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


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