A long chain of P-points
Journal of Mathematical Logic 18 (1):1850004 (2018)
Abstract
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.Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Sign in / register and customize your OpenURL resolver
- Configure custom resolver
My notes
Similar books and articles
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.
The Secret Chain: Justice and Self-Interest in Montesquieu's Persian Letters.L. A. Swaine - 2001 - History of Political Thought 22 (1):84-105.
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.
Chains and antichains in partial orderings.Valentina S. Harizanov, Carl G. Jockusch & Julia F. Knight - 2009 - Archive for Mathematical Logic 48 (1):39-53.
Through Points on 3 and 2 Faces of a Triangular Pyramid.Goel Piyush - September,2016 - Edupediapublications 3 (13):1-3.
Some new habit features in crystals of long chain compounds. Part I. Paraffins.A. Keller - 1961 - Philosophical Magazine 6 (63):329-343.
Some new habit features in crystals of long chain compounds. Part II. Polymers.D. C. Bassett & A. Keller - 1961 - Philosophical Magazine 6 (63):345-358.
Socio-Economic and Environmental Success through Effective Poultry Forward and Reverse Supply Chain Process.Mohammad Shamsuddoha - unknown
Learning turning points - in life with long-term illness - visualized with the help of the life-world philosophy.Mia M. U. Berglund - unknown
The possible role of long-chain, omega-3 fatty acids in human brain phylogeny.Jack G. Chamberlain - 1996 - Perspectives in Biology and Medicine 39 (3):436.
Analytics
Added to PP
2018-03-19
Downloads
14 (#733,875)
6 months
1 (#455,463)
2018-03-19
Downloads
14 (#733,875)
6 months
1 (#455,463)
Historical graph of downloads
Citations of this work
The rudin–keisler ordering of p-points under ???? = ????Andrzej Starosolski - 2021 - Journal of Symbolic Logic 86 (4):1691-1705.
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.
Models with second order properties V: A general principle.Saharon Shelah, Claude Laflamme & Bradd Hart - 1993 - Annals of Pure and Applied Logic 64 (2):169-194.
