The structure of pleasant ideals

Details The structure of pleasant ideals The structure of pleasant ideals

1993-08-24

arxiv.org/abs/math/9308203v1

Mathematics

Logic

Scientific paper

Normal ideals on regular uncountable cardinals are familiar objects. We
investigate ideals that are pleasant--while a normal ideal is closed under
arbitrary diagonal unions, a pleasant ideal is closed only under diagonal
unions indexed by sets that are elements of the ideal. We show any selective
ideal extending the nonstationary ideal must be normal.

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