Large ideals on small cardinals

Annals of Pure and Applied Logic 64 (3):241-271 (1993)
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Abstract

We prove, assuming the existence of large cardinals, the relative consistency of the existence of strongly saturated ideals on small cardinals. We also give some information about the problem, how many σ-additive, 0-1-valued measures over a small cardinal are necessary, such that every subset of the cardinal is measurable in at least one of them

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10.1016/0168-0072(93)90145-4

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References found in this work

Strong axioms of infinity and elementary embeddings.Robert M. Solovay - 1978 - Annals of Mathematical Logic 13 (1):73.
Saturated ideals.Kenneth Kunen - 1978 - Journal of Symbolic Logic 43 (1):65-76.
Distributivity and the Normal Completion of Boolean Algebras.R. S. Pierce - 1959 - Journal of Symbolic Logic 24 (3):251-251.

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