On strength of precipitousness of some ideals and towers

• YOSHINOBU Yasuo

  Graduate School of Human Informatics Nagoya University

Abstract

We show that the existence of a precipitous ideal over the successor of some limit cardinals implies the existence of some large cardinals, in the sense of consistency. Moreover we use the same technique to evaluate the consistency strength of precipitousness of Woodin's stationary tower

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 51 (3), 535-541, 1999

  The Mathematical Society of Japan

Keywords

• Precipitousness
• stationary towers
• consistency strength

Details

• CRID: 1390001205116064768
• NII Article ID: 10004480569
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05130535
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1694779
• NDL BIB ID: 4818771
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4818771
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed