Date of Award

5-2016

Embargo Period

3-21-2017

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematical Sciences

Advisor(s)

Ernest Schimmerling

Abstract

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.

Share

COinS