Adding many Baumgartner clubs

Archive for Mathematical Logic 56 (7-8):797-810 (2017)
  Copy   BIBTEX

Abstract

I define a homogeneous \–c.c. proper product forcing for adding many clubs of \ with finite conditions. I use this forcing to build models of \=\aleph _2\), together with \\) and \ large and with very strong failures of club guessing at \.

Categories

Add categories

Keywords

Reprint years

DOI

10.1007/s00153-017-0539-6

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,150

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

Strongly adequate sets and adding a club with finite conditions.John Krueger - 2014 - Archive for Mathematical Logic 53 (1-2):119-136.
On closed unbounded sets consisting of former regulars.Moti Gitik - 1999 - Journal of Symbolic Logic 64 (1):1-12.
On Closed Unbounded Sets Consisting of Former Regulars.Moti Gitik - 1999 - Journal of Symbolic Logic 64 (1):1-12.
Forcing with Sequences of Models of Two Types.Itay Neeman - 2014 - Notre Dame Journal of Formal Logic 55 (2):265-298.
Two applications of finite side conditions at omega _2.Itay Neeman - 2017 - Archive for Mathematical Logic 56 (7-8):983-1036.
Adding clubs with square.John Krueger - 2006 - Annals of Pure and Applied Logic 141 (1):1-28.
Some applications of mixed support iterations.John Krueger - 2009 - Annals of Pure and Applied Logic 158 (1-2):40-57.
On guessing generalized clubs at the successors of regulars.Assaf Rinot - 2011 - Annals of Pure and Applied Logic 162 (7):566-577.
Adding a closed unbounded set.J. E. Baumgartner, L. A. Harrington & E. M. Kleinberg - 1976 - Journal of Symbolic Logic 41 (2):481-482.
Forcing notions in inner models.David Asperó - 2009 - Archive for Mathematical Logic 48 (7):643-651.
Combinatorial properties of classical forcing notions.Jörg Brendle - 1995 - Annals of Pure and Applied Logic 73 (2):143-170.
Etudes in κ-m-proper forcing.Charles Morgan - unknown
Some results about (+) proved by iterated forcing.Tetsuya Ishiu & Paul B. Larson - 2012 - Journal of Symbolic Logic 77 (2):515-531.
Review: James E. Baumgartner, Sacks Forcing and the Total Failure of Martin's Axiom; James E. Baumgartner, Peter Dordal, Adjoining Dominating Functions. [REVIEW]Alan Dow - 2000 - Bulletin of Symbolic Logic 6 (4):495-497.
A Sacks real out of nowhere.Jakob Kellner & Saharon Shelah - 2010 - Journal of Symbolic Logic 75 (1):51-76.

Analytics

Added to PP
2017-09-20

Downloads
18 (#835,016)

6 months
7 (#435,412)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

David Aspero
University of East Anglia

Citations of this work

Add more citations

References found in this work

Forcing closed unbounded sets.Uri Abraham & Saharon Shelah - 1983 - Journal of Symbolic Logic 48 (3):643-657.
Some results about (+) proved by iterated forcing.Tetsuya Ishiu & Paul B. Larson - 2012 - Journal of Symbolic Logic 77 (2):515-531.
The comparison of various club guessing principles.Tetsuya Ishiu - 2015 - Annals of Pure and Applied Logic 166 (5):583-600.

Add more references