Ultrafilters on ω

Publisher： Cambridge University Press

E-ISSN： 1943-5886|60|2|624-639

ISSN： 0022-4812

Source： The Journal of Symbolic Logic, Vol.60, Iss.2, 1995-06, pp. : 624-639

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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 ω 1. 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.

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