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A Cardinal Pattern Inspired by AD |
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| Authors: | Arthur W Apter |
| Abstract: | Assuming Con(AD), a model in which there are unboundedly many regular cardinals below Θ and in which the only regular cardinals below Θ are limit cardinals was previously constructed. Using a large cardinal hypothesis far beyond Con(AD), we construct in this paper a model in which there is a proper class of regular cardinals and in which the only regular cardinals in the universe are limit cardinals. Mathematics Subject Classification: 03E55, 03E60. |
| Keywords: | Axiom of Determinacy Superstrong cardinal Supercompact cardinal Almost huge cardinal Ramsey cardinal Radin Forcing Prikry Forcing |