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2005 A Tail Club Guessing Ideal Can Be Saturated without Being a Restriction of the Nonstationary Ideal
Tetsuya Ishiu
Notre Dame J. Formal Logic 46(3): 327-333 (2005). DOI: 10.1305/ndjfl/1125409331

Abstract

We outline the proof of the consistency that there exists a saturated tail club guessing ideal on ω₁ which is not a restriction of the nonstationary ideal. A new class of forcing notions and the forcing axiom for the class are introduced for this purpose.

Citation

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Tetsuya Ishiu. "A Tail Club Guessing Ideal Can Be Saturated without Being a Restriction of the Nonstationary Ideal." Notre Dame J. Formal Logic 46 (3) 327 - 333, 2005. https://doi.org/10.1305/ndjfl/1125409331

Information

Published: 2005
First available in Project Euclid: 30 August 2005

zbMATH: 1095.03040
MathSciNet: MR2162103
Digital Object Identifier: 10.1305/ndjfl/1125409331

Subjects:
Primary: 03E35
Secondary: 03E55

Keywords: club guessing , Forcing axiom , saturated

Rights: Copyright © 2005 University of Notre Dame

Vol.46 • No. 3 • 2005
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