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Powers of the ideal of Lebesgue measure zero sets

Published online by Cambridge University Press:  12 March 2014

Maxim R. Burke
Maxim R. Burke*
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 56 , Issue 1 , March 1991 , pp. 103 - 107
Copyright
Copyright © Association for Symbolic Logic 1991

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References

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