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December 2003 Distinguishing types of gaps in 𝒫(ω)/fin
Teruyuki Yorioka
J. Symbolic Logic 68(4): 1261-1276 (December 2003). DOI: 10.2178/jsl/1067620186

Abstract

Supplementing the well known results of Kunen we show that Martin’s Axiom is not sufficient to decide the existence of (ω1,𝔠)-gaps when (𝔠,𝔠)-gaps exist, that is, it is consistent with ZFC that Martin’s Axiom holds and there are (𝔠,𝔠)-gaps but no (ω1,𝔠)-gaps.

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Teruyuki Yorioka. "Distinguishing types of gaps in 𝒫(ω)/fin." J. Symbolic Logic 68 (4) 1261 - 1276, December 2003. https://doi.org/10.2178/jsl/1067620186

Information

Published: December 2003
First available in Project Euclid: 31 October 2003

zbMATH: 1056.03025
MathSciNet: MR2017354
Digital Object Identifier: 10.2178/jsl/1067620186

Rights: Copyright © 2003 Association for Symbolic Logic

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Vol.68 • No. 4 • December 2003
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