Ultrafilters on ω

Journal of Symbolic Logic 60 (2):624-639 (1995)
  Copy   BIBTEX

Abstract

We study the I-ultrafilters on ω, where I is 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

Categories

Keywords

Reprint years

DOI

10.2307/2275854

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,100

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Forcing and stable ordered–union ultrafilters.Todd Eisworth - 2002 - Journal of Symbolic Logic 67 (1):449-464.
On Milliken-Taylor Ultrafilters.Heike Mildenberger - 2011 - Notre Dame Journal of Formal Logic 52 (4):381-394.
Supercompact cardinals, trees of normal ultrafilters, and the partition property.Julius B. Barbanel - 1986 - Journal of Symbolic Logic 51 (3):701-708.
A characterization of 2-square ultrafilters.Ned I. Rosen - 1983 - Journal of Symbolic Logic 48 (2):409-414.
Ultrafilters on the natural numbers.Christopher Barney - 2003 - Journal of Symbolic Logic 68 (3):764-784.
Saturating ultrafilters on N.D. H. Fremlin & P. J. Nyikos - 1989 - Journal of Symbolic Logic 54 (3):708-718.
Reasonable Ultrafilters, Again.Andrzej Rosłanowski & Saharon Shelah - 2011 - Notre Dame Journal of Formal Logic 52 (2):113-147.
A note on a result of Kunen and Pelletier.Julius B. Barbanel - 1992 - Journal of Symbolic Logic 57 (2):461-465.
A few special ordinal ultrafilters.Claude Laflamme - 1996 - Journal of Symbolic Logic 61 (3):920-927.
Ultrafilters which extend measures.Michael Benedikt - 1998 - Journal of Symbolic Logic 63 (2):638-662.

Analytics

Added to PP
2009-01-28

Downloads
51 (#313,029)

6 months
8 (#365,731)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Katětov order on Borel ideals.Michael Hrušák - 2017 - Archive for Mathematical Logic 56 (7-8):831-847.
Characterizing existence of certain ultrafilters.Rafał Filipów, Krzysztof Kowitz & Adam Kwela - 2022 - Annals of Pure and Applied Logic 173 (9):103157.
Continuous extension of maps between sequential cascades.Szymon Dolecki & Andrzej Starosolski - 2021 - Annals of Pure and Applied Logic 172 (4):102928.
Van Douwen’s diagram for dense sets of rationals.Jörg Brendle - 2006 - Annals of Pure and Applied Logic 143 (1-3):54-69.

View all 13 citations / Add more citations

References found in this work

Ultrafilters on a countable set.David Booth - 1970 - Annals of Mathematical Logic 2 (1):1.

Add more references