Jump to content

Talk:Rowbottom cardinal

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia

Equivalent property

[edit]

On p. 5 of Mitchell's "Inner Models for Large Cardinals" I found that there is a model-theoretic characterization of Rowbottomness of , however I cannot find Mitchell's characterization in either The Higher Infinite or Rowbottom's paper. Theorem 2.1 in Rowbottom's paper does almost give a model-theoretic characterization of -Rowbottom cardinals (written as in the terminology of the paper), but not quite, as for the theorem to apply to -Rowbottomness, the quintuple would have to be relevant, but fails. Is anyone aware of a source for either of these or any similar characterizations in order to add them? C7XWiki (talk) 07:32, 12 May 2024 (UTC)[reply]