Models of R-supercompactness.pdf (1.11 MB)
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Models of R-supercompactness

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posted on 01.05.2016, 00:00 authored by Daniel Rodriguez

Under various appropriate hypotheses it is shown that there is only one determinacy model of the form L(R, μ) in which μ is a supercompact measure on P!1 (R). In particular, this gives a positive answer to a question asked by W.H. Woodin in 1983. It is also proven that it is relatively consistent that there are different ZF models of the form L(R, μ) in which μ witnesses that !1 is R-supercompact.

History

Date

01/05/2016

Degree Type

Dissertation

Department

Mathematical Sciences

Degree Name

Doctor of Philosophy (PhD)

Advisor(s)

Ernest Schimmerling

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