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A variant of the diamond principle for combinatorial ideals

Authors:	Y Abe

Institution:	Department of Mathematics, Kanagawa University, Yokohama 221, Japan

Abstract:	We use a variant of the diamond principle to show many ideals on $\kappa$ are not $2^{\kappa}$ -saturated if $\kappa$ is large. For instance, the $\Pi^1_1$ -indescribable ideal is not $2^{\kappa}$ -saturated if $\kappa$ is almost ineffable.

Keywords:	The diamond principle saturated ideals ineffability indescribability

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