Can a large cardinal be forced from a condition implying its negation?

Arthur W. Apter, Grigor Sargsyan

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this note, we provide an affirmative answer to the title question by giving two examples of cardinals satisfying conditions implying they are non-Rowbottom which can be turned into Rowbottom cardinals via forcing. In our second example, our cardinal is also non-Jonsson.

Original languageEnglish (US)
Pages (from-to)3103-3108
Number of pages6
JournalProceedings of the American Mathematical Society
Volume133
Issue number10
DOIs
StatePublished - Oct 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

Keywords

  • Jonsson cardinal
  • Rowbottora cardinal
  • Strongly compact cardinal

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