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Resurrection axioms and uplifting cardinals |
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| Authors: | Joel David Hamkins Thomas A Johnstone |
| Institution: | 1. Mathematics, Philosophy, Computer Science, The Graduate Center of The City University of New York, 365 Fifth Avenue, New York, NY, 10016, USA 2. Mathematics, College of Staten Island of CUNY, Staten Island, NY, 10314, USA 3. Mathematics, New York City College of Technology of CUNY, Brooklyn, NY, 11201, USA |
| Abstract: | We introduce the resurrection axioms, a new class of forcing axioms, and the uplifting cardinals, a new large cardinal notion, and prove that various instances of the resurrection axioms are equiconsistent over ZFC with the existence of an uplifting cardinal. |
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