Adding many Baumgartner clubs

Asperó, David (2017) Adding many Baumgartner clubs. Archive for Mathematical Logic, 56 (7-8). pp. 797-810. ISSN 0933-5846

[img] PDF (adding-many-baumgartner-clubs) - Submitted Version
Restricted to Repository staff only until 31 December 2099.

Download (366kB) | Request a copy
[img]
Preview
PDF (Adding_many_Baumgartner_clubs) - Published Version
Available under License Creative Commons Attribution.

Download (506kB) | Preview

Abstract

I define a homogeneous ℵ2–c.c. proper product forcing for adding many clubs of ω1 with finite conditions. I use this forcing to build models of b(ω1)=ℵ2, together with d(ω1) and 2ℵ0 large and with very strong failures of club guessing at ω1.

Item Type: Article
Additional Information: Special volume dedicated to the memory of J. Baumgartner
Uncontrolled Keywords: baumgartner clubs,strong failures of club guessing,cardinal characteristics for ω1,generalizations of martin’s axiom
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Pure Connector
Date Deposited: 01 Apr 2016 10:23
Last Modified: 22 Jul 2020 01:34
URI: https://ueaeprints.uea.ac.uk/id/eprint/58069
DOI: 10.1007/s00153-017-0539-6

Actions (login required)

View Item View Item