Reflection principles for uω2and the semi-stationary reflection principle

Toshimichi Usuba

doi:10.2969/jmsj/06831081

Reflection principles for uω₂and the semi-stationary reflection principle

Toshimichi Usuba^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1081-1098
Number of pages	18
Journal	Journal of the Mathematical Society of Japan
Volume	68
Issue number	3
DOIs	https://doi.org/10.2969/jmsj/06831081
Publication status	Published - 2016
Externally published	Yes

Keywords

Fodortype reflection principle.
Semi-stationary reflection principle

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2969/jmsj/06831081

Cite this

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abstract = "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.",

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KW - Semi-stationary reflection principle

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