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and Ultrafilters on ℚ and ω
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A. Millán
Veröffentlicht/Copyright:
9. Juni 2010
Abstract
In this paper we use the version 
of the Covering Property Axiom, which has been formulated by Ciesielski and Pawlikowski and holds in the iterated perfect set model, to study the relations between different kinds of ultrafilters on ω and ℚ. In particular, we will give a full account for the logical relations between the properties of being a selective ultrafilter, a P-point, a Q-point, and an ω1-OK point.
Key words and phrases.: Covering Property Axiom CPA; crowded ultrafilter; Q-point; prism-friendly ideal; OK-point
Received: 2004-07-27
Revised: 2005-11-11
Published Online: 2010-06-09
Published in Print: 2006-December
© Heldermann Verlag
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Artikel in diesem Heft
- and Ultrafilters on ℚ and ω
- Remarks on Best Approximations in Generalized Convex Spaces
- A Note on P-Times and Time Projections
- The Apollonian Metric: The Comparison Property, Bilipschitz Mappings and Thick Sets
- On the Integral Quasicontinuity
- On Completeness of Random Transition Count for Markov Chains
- Notes on Uniqueness of Meromorphic Functions
- Strong and Weak Convergence of Implicit Iterative Process with Errors for Asymptotically Nonexpansive Mappings
- On Measurable Sierpiński-Zygmund Functions
- Extension Theorem for a Functional Equation
Schlagwörter für diesen Artikel
Covering Property Axiom CPA;
crowded ultrafilter;
Q-point;
prism-friendly ideal;
OK-point
Artikel in diesem Heft
- and Ultrafilters on ℚ and ω
- Remarks on Best Approximations in Generalized Convex Spaces
- A Note on P-Times and Time Projections
- The Apollonian Metric: The Comparison Property, Bilipschitz Mappings and Thick Sets
- On the Integral Quasicontinuity
- On Completeness of Random Transition Count for Markov Chains
- Notes on Uniqueness of Meromorphic Functions
- Strong and Weak Convergence of Implicit Iterative Process with Errors for Asymptotically Nonexpansive Mappings
- On Measurable Sierpiński-Zygmund Functions
- Extension Theorem for a Functional Equation
