Adding many Baumgartner clubs

David Asperó

doi:10.1007/s00153-017-0539-6

Adding many Baumgartner clubs

David Asperó

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

25 Downloads (Pure)

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 2^ℵ0 large and with very strong failures of club guessing at ω₁.

Original language	English
Pages (from-to)	797-810
Number of pages	14
Journal	Archive for Mathematical Logic
Volume	56
Issue number	7-8
Early online date	9 May 2017
DOIs	https://doi.org/10.1007/s00153-017-0539-6
Publication status	Published - Nov 2017

Keywords

Baumgartner clubs
Strong failures of club guessing
Cardinal characteristics for ω1
Generalizations of Martin’s Axiom

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10.1007/s00153-017-0539-6Licence: CC BY

Adding_many_Baumgartner_clubsFinal published version, 495 KBLicence: CC BY

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adding-many-baumgartner-clubs
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Embargo ends: 31/12/99

David Aspero
- D.Asperouea.acuk
- School of Engineering, Mathematics and Physics - Associate Professor in Pure Mathematics
- Algebra, Number Theory, Logic, and Representations (ANTLR) - Member
Person: Research Group Member, Academic, Teaching and Research

Cite this

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title = "Adding many Baumgartner clubs",

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.",

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AB - 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.

KW - Baumgartner clubs

KW - Strong failures of club guessing

KW - Cardinal characteristics for ω1

KW - Generalizations of Martin’s Axiom

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Adding many Baumgartner clubs

Abstract

Keywords

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David Aspero

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