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March 2002 Forcing and stable ordered-union ultrafilters
Todd Eisworth
J. Symbolic Logic 67(1): 449-464 (March 2002). DOI: 10.2178/jsl/1190150054

Abstract

We investigate the effect of a variant of Matet forcing on ultrafilters in the ground model and give a characterization of those $P$–points that survive such forcing, answering a question left open by Blass. We investigate the question of when this variant of Matet forcing can be used to diagonalize small filters without destroying $P$–points in the ground model. We also deal with the question of generic existence of stable ordered–union ultrafilters.

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Todd Eisworth. "Forcing and stable ordered-union ultrafilters." J. Symbolic Logic 67 (1) 449 - 464, March 2002. https://doi.org/10.2178/jsl/1190150054

Information

Published: March 2002
First available in Project Euclid: 18 September 2007

zbMATH: 1002.03039
MathSciNet: MR1889561
Digital Object Identifier: 10.2178/jsl/1190150054

Subjects:
Primary: 03E05
Secondary: 03E17 , 03E35

Rights: Copyright © 2002 Association for Symbolic Logic

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Vol.67 • No. 1 • March 2002
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