Abstract | ||
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We show that strongly compact cardinals and MM are sensitive to lambda-closed foreings for arbitrarily large lambda. This is done by adding 'regressive' lambda-Kurepa trees in either case. We argue that the destruction of regressive Kurepa trees requires a non-standard application of MM. As a corollary, we find a consistent example of an omega(2)-closed poset that is not forcing equivalent to any omega(2)-directed-closed poset. |
Year | DOI | Venue |
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2012 | 10.2178/jsl.7704130 | JOURNAL OF SYMBOLIC LOGIC |
Keywords | DocType | Volume |
Kurepa trees,compact cardinals,Martin's Maximum | Journal | 77 |
Issue | ISSN | Citations |
4 | 0022-4812 | 3 |
PageRank | References | Authors |
0.55 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bernhard König | 1 | 44 | 5.84 |
Yasuo Yoshinobu | 2 | 14 | 3.73 |