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Powers of the ideal of Lebesgue measure zero sets
Published online by Cambridge University Press: 12 March 2014
Abstract
We investigate the cofinality of the partial order κ of functions from a regular cardinal κ into the ideal
of Lebesgue measure zero subsets of R. We show that when add (
) = κ and the covering lemma holds with respect to an inner model of GCH, then cf (
κ) = max{cf(κκ), cf([cf(
)]κ)}. We also give an example to show that the covering assumption cannot be removed.
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- Research Article
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- Copyright © Association for Symbolic Logic 1991