A long chain of P-points

Journal of Mathematical Logic 18 (1):1850004 (2018)
  Copy   BIBTEX


The notion of a [Formula: see text]-generic sequence of P-points is introduced in this paper. It is proved assuming the Continuum Hypothesis that for each [Formula: see text], any [Formula: see text]-generic sequence of P-points can be extended to an [Formula: see text]-generic sequence. This shows that the CH implies that there is a chain of P-points of length [Formula: see text] with respect to both Rudin–Keisler and Tukey reducibility. These results answer an old question of Andreas Blass.



    Upload a copy of this work     Papers currently archived: 76,479

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

Cicero's De Finibus.James F. Orford - 1928 - Modern Schoolman 4 (5):71-72.
Fixed points and unfounded chains.Claudio Bernardi - 2001 - Annals of Pure and Applied Logic 109 (3):163-178.
On the existence of strong chains in ℘(ω1)/fin.Piotr Koszmider - 1998 - Journal of Symbolic Logic 63 (3):1055 - 1062.
Menselijke kennis en rechtvaardiging: Eindige of oneindige ketens?Harmen Ghijsen - 2015 - Algemeen Nederlands Tijdschrift voor Wijsbegeerte 107 (2):193-197.
On the Existence of Strong Chains in $\wp$/Fin.Piotr Koszmider - 1998 - Journal of Symbolic Logic 63 (3):1055-1062.
Natural links in a long chain of being.Victor Hanson - 2006 - In Jay Allison, Dan Gediman, John Gregory & Viki Merrick (eds.), This I Believe: The Personal Philosophies of Remarkable Men and Women. H. Holt.
Through Points on 3 and 2 Faces of a Triangular Pyramid.Goel Piyush - September,2016 - Edupediapublications 3 (13):1-3.


Added to PP

14 (#733,875)

6 months
1 (#455,463)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

The rudin–keisler ordering of p-points under ???? = ????Andrzej Starosolski - 2021 - Journal of Symbolic Logic 86 (4):1691-1705.

Add more citations

References found in this work

Forcing with filters and complete combinatorics.Claude Laflamme - 1989 - Annals of Pure and Applied Logic 42 (2):125-163.
Cofinal types of ultrafilters.Dilip Raghavan & Stevo Todorcevic - 2012 - Annals of Pure and Applied Logic 163 (3):185-199.
The Rudin-Blass ordering of ultrafilters.Claude Laflamme & Jian-Ping Zhu - 1998 - Journal of Symbolic Logic 63 (2):584-592.

Add more references