TY - JOUR
T1 - Reflection principles for uω2and the semi-stationary reflection principle
AU - Usuba, Toshimichi
N1 - Publisher Copyright:
© 2016 The Mathematical Society of Japan.
PY - 2016
Y1 - 2016
N2 - Starting from a model with a weakly compact cardinal, we construct a model in which the weak stationary reflection principle for uω2 holds but the Fodor-type reflection principle for uω2 fails. So the stationary reflection principle for uω2 fails in this model. We also construct a model in which the semi-stationary reflection principle holds but the Fodor-type reflection principle for uω2 fails.
AB - Starting from a model with a weakly compact cardinal, we construct a model in which the weak stationary reflection principle for uω2 holds but the Fodor-type reflection principle for uω2 fails. So the stationary reflection principle for uω2 fails in this model. We also construct a model in which the semi-stationary reflection principle holds but the Fodor-type reflection principle for uω2 fails.
KW - Fodortype reflection principle.
KW - Semi-stationary reflection principle
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U2 - 10.2969/jmsj/06831081
DO - 10.2969/jmsj/06831081
M3 - Article
AN - SCOPUS:84979701635
VL - 68
SP - 1081
EP - 1098
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
SN - 0025-5645
IS - 3
ER -