Ultrafilters on $omega$

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

Abstract

We study the $I$-ultrafilters on $\omega$, where $I$ is a collection of subsets of a set $X$, usually $\mathbb{R}$ or $\omega_1$. 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

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,813

External links

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

Through your library

Similar books and articles

Analytics

Added to PP
2013-11-02

Downloads
23 (#701,105)

6 months
2 (#1,249,707)

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.
-Ultrafilters in the Rational Perfect Set Model.Jonathan Cancino-manríquez - 2024 - Journal of Symbolic Logic 89 (1):175-194.
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

No references found.

Add more references