Models of R-supercompactness

Models of R-supercompactness

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 th...

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Main Author: Rodriguez, Daniel
Format: Others
Published: Research Showcase @ CMU 2016
Online Access:http://repository.cmu.edu/dissertations/818
http://repository.cmu.edu/cgi/viewcontent.cgi?article=1857&context=dissertations
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spelling ndltd-cmu.edu-oai-repository.cmu.edu-dissertations-18572017-03-22T03:40:57Z Models of R-supercompactness Rodriguez, Daniel 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. 2016-05-01T07:00:00Z text application/pdf http://repository.cmu.edu/dissertations/818 http://repository.cmu.edu/cgi/viewcontent.cgi?article=1857&context=dissertations Dissertations Research Showcase @ CMU
collection NDLTD
format Others
sources NDLTD
description 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.
author Rodriguez, Daniel
spellingShingle Rodriguez, Daniel
Models of R-supercompactness
author_facet Rodriguez, Daniel
author_sort Rodriguez, Daniel
title Models of R-supercompactness
title_short Models of R-supercompactness
title_full Models of R-supercompactness
title_fullStr Models of R-supercompactness
title_full_unstemmed Models of R-supercompactness
title_sort models of r-supercompactness
publisher Research Showcase @ CMU
publishDate 2016
url http://repository.cmu.edu/dissertations/818
http://repository.cmu.edu/cgi/viewcontent.cgi?article=1857&context=dissertations
work_keys_str_mv AT rodriguezdaniel modelsofrsupercompactness
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