Adding many Baumgartner clubs

DOI10.1007/S00153-017-0539-6zbMath1417.03246OpenAlexW2346391169WikidataQ59612759 ScholiaQ59612759MaRDI QIDQ2408075

David Asperó

Publication date: 9 October 2017

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-017-0539-6

zbMATH Keywords

Baumgartner clubscardinal characteristics for \(\omega _1\)generalizations of Martin's axiomstrong failures of club guessing

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (1)

A FORCING NOTION COLLAPSING $\aleph _3 $ AND PRESERVING ALL OTHER CARDINALS

Uses Software

• MathOverflow

Cites Work

• A generalization of Martin's axiom
• A dichotomy for forcing notions
• The comparison of various club guessing principles
• Some results about (+) proved by iterated forcing
• Forcing closed unbounded sets
• Forcing consequences of $PFA$ together with the continuum large
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