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Ultrafilters on ω

Published online by Cambridge University Press:  12 March 2014

James E. Baumgartner
James E. Baumgartner*
Affiliation:
Department of Mathematics and Computer Science, Dartmouth College, Hanover, NH 03755, USA, E-mail: james.baumgartner@dartmouth.edu
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Abstract

We study the I-ultrafilters on ω, where I is a a collection of subsets of a set X, usually ℝ or ω1. The I-ultrafilters usually contain the P-points, often as a small proper subset. We study relations between I-ultrafilters for various I, and closure of I-ultrafilters under ultrafilter sums. We consider, but do not settle, the question whether I-ultrafilters always exist.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 60 , Issue 2 , June 1995 , pp. 624 - 639
Copyright
Copyright © Association for Symbolic Logic 1995

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References

REFERENCES

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