Notes to “The Resurrection Axioms”
نویسنده
چکیده
I will discuss a new class of forcing axioms, the Resurrection Axioms (RA), and the Weak Resurrection Axioms (wRA). While Cohen’s method of forcing has been designed to change truths about the set-theoretic universe you live in, the point of Resurrection is that some truths that have been changed by forcing can in fact be resurrected, i.e. forced to hold again. In this talk, I will illustrate how RA is tied to forcing axioms such as MA and BPFA, and how it affects the size of the continuum. The main theorem will show that RA and a particular instance of wRA are equiconsistent with the existence of an uplifting cardinal, a large cardinal notion consistent with V = L. This is joint work with Joel David Hamkins.
منابع مشابه
Resurrection axioms and uplifting cardinals
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 car-
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