The bounded axiom a forcing axiom

Thilo Weinert

doi:10.1002/malq.200810163

The bounded axiom a forcing axiom

Thilo Weinert

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

1 Scopus citations

Abstract

We introduce the Bounded Axiom A Forcing Axiom (BAAFA). It turns out that it is equiconsistent with the existence of a regular Σ₂-correct cardinal and hence also equiconsistent with BPFA. Furthermore we show that, if consistent, it does not imply the Bounded Proper Forcing Axiom (BPFA).

Original language	English
Pages (from-to)	659-665
Number of pages	7
Journal	Mathematical Logic Quarterly
Volume	56
Issue number	6
DOIs	https://doi.org/10.1002/malq.200810163
State	Published - 1 Dec 2010
Externally published	Yes

Keywords

Axiom A
BAAFA
BPFA
Correct cardinal
Forcing Axiom
Proper forcing
Reflecting cardinal

ASJC Scopus subject areas

Logic

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10.1002/malq.200810163

Cite this

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abstract = "We introduce the Bounded Axiom A Forcing Axiom (BAAFA). It turns out that it is equiconsistent with the existence of a regular Σ2-correct cardinal and hence also equiconsistent with BPFA. Furthermore we show that, if consistent, it does not imply the Bounded Proper Forcing Axiom (BPFA).",

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AB - We introduce the Bounded Axiom A Forcing Axiom (BAAFA). It turns out that it is equiconsistent with the existence of a regular Σ2-correct cardinal and hence also equiconsistent with BPFA. Furthermore we show that, if consistent, it does not imply the Bounded Proper Forcing Axiom (BPFA).

KW - Axiom A

KW - BAAFA

KW - BPFA

KW - Correct cardinal

KW - Forcing Axiom

KW - Proper forcing

KW - Reflecting cardinal

UR - https://www.scopus.com/pages/publications/78149400458

U2 - 10.1002/malq.200810163

DO - 10.1002/malq.200810163

M3 - Article

AN - SCOPUS:78149400458

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VL - 56

SP - 659

EP - 665

JO - Mathematical Logic Quarterly

JF - Mathematical Logic Quarterly

IS - 6

ER -

The bounded axiom a forcing axiom

Abstract

Keywords

ASJC Scopus subject areas

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