Adding many Baumgartner clubs

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

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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
UEA Research Groups: Faculty of Science > Research Groups > Logic
Depositing User: Pure Connector
Date Deposited: 01 Apr 2016 10:23
Last Modified: 22 Oct 2022 02:42
DOI: 10.1007/s00153-017-0539-6

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