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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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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User:	Pure Connector
Date Deposited:	01 Apr 2016 10:23
Last Modified:	10 Dec 2024 01:29
URI:	https://ueaeprints.uea.ac.uk/id/eprint/58069
DOI:	10.1007/s00153-017-0539-6

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