Open Access
July, 2016 Reflection principles for $\omega_2$ and the semi-stationary reflection principle
Toshimichi USUBA
J. Math. Soc. Japan 68(3): 1081-1098 (July, 2016). DOI: 10.2969/jmsj/06831081

Abstract

Starting from a model with a weakly compact cardinal, we construct a model in which the weak stationary reflection principle for $\omega_2$ holds but the Fodor-type reflection principle for $\omega_2$ fails. So the stationary reflection principle for $\omega_2$ fails in this model. We also construct a model in which the semi-stationary reflection principle holds but the Fodor-type reflection principle for $\omega_2$ fails.

Citation

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Toshimichi USUBA. "Reflection principles for $\omega_2$ and the semi-stationary reflection principle." J. Math. Soc. Japan 68 (3) 1081 - 1098, July, 2016. https://doi.org/10.2969/jmsj/06831081

Information

Published: July, 2016
First available in Project Euclid: 19 July 2016

zbMATH: 06642405
MathSciNet: MR3523539
Digital Object Identifier: 10.2969/jmsj/06831081

Subjects:
Primary: 03E35
Secondary: 03E05

Keywords: Fodor-type reflection principle , semi-stationary reflection principle , stationary reflection principle

Rights: Copyright © 2016 Mathematical Society of Japan

Vol.68 • No. 3 • July, 2016
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