Reflection principles for uω2and the semi-stationary reflection principle

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1081-1098
Number of pages18
JournalJournal of the Mathematical Society of Japan
Volume68
Issue number3
DOIs
Publication statusPublished - 2016
Externally publishedYes

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Keywords

  • Fodortype reflection principle.
  • Semi-stationary reflection principle

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Reflection principles for uω2and the semi-stationary reflection principle. / Usuba, Toshimichi.

In: Journal of the Mathematical Society of Japan, Vol. 68, No. 3, 2016, p. 1081-1098.

Research output: Contribution to journalArticle

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