Some results about (+) proved by iterated forcing

Journal of Symbolic Logic 77 (2):515-531 (2012)
  Copy   BIBTEX

Abstract

We shall show the consistency of CH+ᄀ(+) and CH+(+)+ there are no club guessing sequences on ω₁. We shall also prove that ◊⁺ does not imply the existence of a strong club guessing sequence ω₁

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 106,951

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

Aronszajn lines and the club filter.Justin Tatch Moore - 2008 - Journal of Symbolic Logic 73 (3):1029-1035.
Club guessing sequences and filters.Tetsuya Ishiu - 2005 - Journal of Symbolic Logic 70 (4):1037-1071.
A Club Guessing Toolbox I.Tanmay Inamdar & Assaf Rinot - 2024 - Bulletin of Symbolic Logic 30 (3):303-361.
The saturation of club guessing ideals.Tetsuya Ishiu - 2006 - Annals of Pure and Applied Logic 142 (1):398-424.
Notes on Singular Cardinal Combinatorics.James Cummings - 2005 - Notre Dame Journal of Formal Logic 46 (3):251-282.
Specialising Trees with Small Approximations I.Rahman Mohammadpour - forthcoming - Journal of Symbolic Logic:1-24.
Club Guessing and the Universal Models.Mirna Džamonja - 2005 - Notre Dame Journal of Formal Logic 46 (3):283-300.

Analytics

Added to PP
2012-04-05

Downloads
76 (#300,946)

6 months
13 (#267,579)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Adding many Baumgartner clubs.David Asperó - 2017 - Archive for Mathematical Logic 56 (7-8):797-810.
Square with built-in diamond-plus.Assaf Rinot & Ralf Schindler - 2017 - Journal of Symbolic Logic 82 (3):809-833.

Add more citations

References found in this work

The canonical function game.Paul B. Larson - 2005 - Archive for Mathematical Logic 44 (7):817-827.
Club guessing sequences and filters.Tetsuya Ishiu - 2005 - Journal of Symbolic Logic 70 (4):1037-1071.

Add more references