Local weak presaturation of the strongly non‐stationary ideal

&
Mathematical Logic Quarterly 66 (1):99-103 (2020)
  Copy   BIBTEX

Abstract

We give a model of set theory in which the strongly non‐stationary ideal over is weakly presaturated below some canonical set. Here μ is a regular uncountable cardinal. The model is the forcing extension with the Lévy collapse of a Woodin cardinal to the successor of μ. This improves on results of Goldring and of the first author.

Categories

Add categories

Keywords

Reprint years

DOI

10.1002/malq.201900033

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,932

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

Woodin cardinals and presaturated ideals.Noa Goldring - 1992 - Annals of Pure and Applied Logic 55 (3):285-303.
Local saturation of the non-stationary ideal over Pκλ.Toshimichi Usuba - 2007 - Annals of Pure and Applied Logic 149 (1-3):100-123.
Some applications of mixed support iterations.John Krueger - 2009 - Annals of Pure and Applied Logic 158 (1-2):40-57.
Club guessing sequences and filters.Tetsuya Ishiu - 2005 - Journal of Symbolic Logic 70 (4):1037-1071.
Nowhere precipitousness of the non-stationary ideal over.Yo Matsubara & Saharon Shelah - 2002 - Journal of Mathematical Logic 2 (01):81-89.
An ideal characterization of mahlo cardinals.Qi Feng - 1989 - Journal of Symbolic Logic 54 (2):467-473.
Splitting stationary sets in.Toshimichi Usuba - 2012 - Journal of Symbolic Logic 77 (1):49-62.
Indestructibility and stationary reflection.Arthur W. Apter - 2009 - Mathematical Logic Quarterly 55 (3):228-236.
Characterizing strong compactness via strongness.Arthur W. Apter - 2003 - Mathematical Logic Quarterly 49 (4):375.
Strong compactness and stationary sets.John Krueger - 2005 - Journal of Symbolic Logic 70 (3):767-777.

Analytics

Added to PP
2020-04-03

Downloads
7 (#1,406,036)

6 months
3 (#1,207,210)

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

The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
$K$ without the measurable.Ronald Jensen & John Steel - 2013 - Journal of Symbolic Logic 78 (3):708-734.
Woodin cardinals and presaturated ideals.Noa Goldring - 1992 - Annals of Pure and Applied Logic 55 (3):285-303.
The entire NS ideal on pγ μ can be precipitous.Noa Goldring - 1997 - Journal of Symbolic Logic 62 (4):1161 - 1172.

Add more references