### 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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