Generating ultrafilters in a reasonable way

&
Mathematical Logic Quarterly 54 (2):202-220 (2008)
  Copy   BIBTEX

Abstract

We continue investigations of reasonable ultrafilters on uncountable cardinals defined in Shelah [8]. We introduce a general scheme of generating a filter on λ from filters on smaller sets and we investigate the combinatorics of objects obtained this way

Categories

Keywords

Reprint years

DOI

10.1002/malq.200610055

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

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

Reasonable Ultrafilters, Again.Andrzej Rosłanowski & Saharon Shelah - 2011 - Notre Dame Journal of Formal Logic 52 (2):113-147.
Ultrafilters generated by a closed set of functions.Greg Bishop - 1995 - Journal of Symbolic Logic 60 (2):415-430.
On Milliken-Taylor Ultrafilters.Heike Mildenberger - 2011 - Notre Dame Journal of Formal Logic 52 (4):381-394.
The existence of free ultrafilters on ω does not imply the extension of filters on ω to ultrafilters.Eric J. Hall, Kyriakos Keremedis & Eleftherios Tachtsis - 2013 - Mathematical Logic Quarterly 59 (4-5):258-267.
Decomposable Ultrafilters and Possible Cofinalities.Paolo Lipparini - 2008 - Notre Dame Journal of Formal Logic 49 (3):307-312.
Saturating ultrafilters on N.D. H. Fremlin & P. J. Nyikos - 1989 - Journal of Symbolic Logic 54 (3):708-718.
The cofinality spectrum of the infinite symmetric group.Saharon Shelah & Simon Thomas - 1997 - Journal of Symbolic Logic 62 (3):902-916.
Ultrafilters on ω.James E. Baumgartner - 1995 - Journal of Symbolic Logic 60 (2):624-639.
Forcing and stable ordered–union ultrafilters.Todd Eisworth - 2002 - Journal of Symbolic Logic 67 (1):449-464.
Sacks forcing, Laver forcing, and Martin's axiom.Haim Judah, Arnold W. Miller & Saharon Shelah - 1992 - Archive for Mathematical Logic 31 (3):145-161.
Ultrafilters on $omega$.James E. Baumgartner - 1995 - Journal of Symbolic Logic 60 (2):624-639.
Regular ultrafilters and finite square principles.Juliette Kennedy, Saharon Shelah & Jouko Väänänen - 2008 - Journal of Symbolic Logic 73 (3):817-823.
Co-stationarity of the Ground Model.Natasha Dobrinen & Sy-David Friedman - 2006 - Journal of Symbolic Logic 71 (3):1029 - 1043.
Ad and patterns of singular cardinals below θ.Arthur W. Apter - 1996 - Journal of Symbolic Logic 61 (1):225-235.

Analytics

Added to PP
2013-12-01

Downloads
38 (#410,745)

6 months
5 (#638,139)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Reasonable Ultrafilters, Again.Andrzej Rosłanowski & Saharon Shelah - 2011 - Notre Dame Journal of Formal Logic 52 (2):113-147.
Full-splitting Miller trees and infinitely often equal reals.Yurii Khomskii & Giorgio Laguzzi - 2017 - Annals of Pure and Applied Logic 168 (8):1491-1506.
Nice ℵ 1 generated non‐P‐points, Part I.Saharon Shelah - 2023 - Mathematical Logic Quarterly 69 (1):117-129.

Add more citations

References found in this work

Was sierpinski right? IV.Saharon Shelah - 2000 - Journal of Symbolic Logic 65 (3):1031-1054.

Add more references