Pseudo P-points and splitting number

&
Archive for Mathematical Logic 58 (7-8):1005-1027 (2019)
  Copy   BIBTEX

Abstract

We construct a model in which the splitting number is large and every ultrafilter has a small subset with no pseudo-intersection.

Categories

Add categories

Keywords

Reprint years

DOI

10.1007/s00153-019-00674-x

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

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

Bounding, splitting, and almost disjointness.Jörg Brendle & Dilip Raghavan - 2014 - Annals of Pure and Applied Logic 165 (2):631-651.
Cellularity and the Structure of Pseudo-Trees.Jennifer Brown - 2007 - Journal of Symbolic Logic 72 (4):1093 - 1107.
Cellularity of Pseudo-Tree Algebras.Jennifer Brown - 2006 - Notre Dame Journal of Formal Logic 47 (3):353-359.
Pair-splitting, pair-reaping and cardinal invariants of F σ -ideals.Michael Hrušák, David Meza-Alcántara & Hiroaki Minami - 2010 - Journal of Symbolic Logic 75 (2):661-677.
Many simple cardinal invariants.Martin Goldstern & Saharon Shelah - 1993 - Archive for Mathematical Logic 32 (3):203-221.
Ray-Splitting Billiards.R. Blümel, P. M. Koch & L. Sirko - 2001 - Foundations of Physics 31 (2):269-281.
Analytic countably splitting families.Otmar Spinas - 2004 - Journal of Symbolic Logic 69 (1):101-117.
Around splitting and reaping for partitions of ω.Hiroaki Minami - 2010 - Archive for Mathematical Logic 49 (4):501-518.
A non-splitting theorem in the enumeration degrees.Mariya Ivanova Soskova - 2009 - Annals of Pure and Applied Logic 160 (3):400-418.
Decisive creatures and large continuum.Jakob Kellner & Saharon Shelah - 2009 - Journal of Symbolic Logic 74 (1):73-104.
Splitting number at uncountable cardinals.Jindřich Zapletal - 1997 - Journal of Symbolic Logic 62 (1):35-42.
The Disinterested Spectator: Geiger’s and Husserl’s Place in the Debate on the Splitting of the Ego.Michele Averchi - 2015 - Studia Phaenomenologica 15:227-246.
Creature forcing and large continuum: the joy of halving.Jakob Kellner & Saharon Shelah - 2012 - Archive for Mathematical Logic 51 (1-2):49-70.
Splitting families and forcing.Miloš S. Kurilić - 2007 - Annals of Pure and Applied Logic 145 (3):240-251.
Splittings and the finite model property.Marcus Kracht - 1993 - Journal of Symbolic Logic 58 (1):139-157.

Analytics

Added to PP
2019-04-11

Downloads
25 (#598,332)

6 months
4 (#698,851)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Constructibility.Keith J. Devlin - 1987 - Journal of Symbolic Logic 52 (3):864-867.
Mad families, splitting families and large continuum.Jörg Brendle & Vera Fischer - 2011 - Journal of Symbolic Logic 76 (1):198 - 208.
Adjoining dominating functions.James E. Baumgartner & Peter Dordal - 1985 - Journal of Symbolic Logic 50 (1):94-101.
Handbook of Set-Theoretic Topology.Kenneth Kunen & Jerry E. Vaughan - 1987 - Journal of Symbolic Logic 52 (4):1044-1046.

Add more references