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

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

1996-01-15

arxiv.org/abs/math/9601219v1

Ann. Pure Appl. Logic 79 (1996), 289--316

Mathematics

Logic

Scientific paper

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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