Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Reflection principles for ω2 and the semi-stationary reflection principle
Toshimichi Usuba
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2016 年 68 巻 3 号 p. 1081-1098

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Starting from a model with a weakly compact cardinal, we construct a model in which the weak stationary reflection principle for ω2 holds but the Fodor-type reflection principle for ω2 fails. So the stationary reflection principle for ω2 fails in this model. We also construct a model in which the semi-stationary reflection principle holds but the Fodor-type reflection principle for ω2 fails.

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© 2016 The Mathematical Society of Japan
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