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A set in L containing regularizing families for ultrafilters

Published online by Cambridge University Press:  26 February 2010

Richard Laver
Richard Laver
Affiliation:
University of Colorado, Boulder, Colorado
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Extract

Let K be a successor cardinal. Call an regularizing family (for short, a regularizing family) if Card ℱ = k and for each with Card . In [7], Prikry proved, assuming V = L, that if is an ultrafilter on K which is uniform (Card X = K, each ) then is regular (some forms a regularizing family).†

Type
Research Article
Information
Mathematika , Volume 24 , Issue 1 , June 1977 , pp. 50 - 51
Copyright
Copyright © University College London 1977

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References

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