LDR | | 00000nam u2200205 4500 |
001 | | 000000434285 |
005 | | 20200226143727 |
008 | | 200131s2019 ||||||||||||||||| ||eng d |
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▼a 9781687921918 |
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▼a (MiAaPQ)AAI22616875 |
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▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
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▼a 510 |
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▼a Sullivant, Ryan. |
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▼a A Covering Theorem for the Core Model below a Woodin Cardinal. |
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▼a [S.l.]:
▼b University of California, Irvine.,
▼c 2019. |
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▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
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▼a 92 p. |
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▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B. |
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▼a Advisor: Zeman, Martin. |
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▼a Thesis (Ph.D.)--University of California, Irvine, 2019. |
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▼a This item must not be sold to any third party vendors. |
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▼a This item must not be added to any third party search indexes. |
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▼a The main result of this dissertation is a covering theorem for the core model below a Woodin cardinal. More precisely, we work with Steel's core model K constructed in V廓 where 廓 is measurable. The theorem is in a similar spirit to theorems of Mitchell and Cox and roughly says that either K recognizes the singularity of an ordinal 觀 or else 觀 is measurable in K.The first chapter of the thesis builds up the technical theory we will work in. The premice we work with use Mitchell-Steel indexing, but we use Jensen's 誇* fine structure and a different amenable coding. The use of 誇* fine structure and this amenable coding significantly simplifies the theory. Towards the end of the first chapter, we prove the full condensation lemma for premice with Mitchell-Steel indexing. This was originally proven by Jensen for premice with 貫-indexing. The second chapter is devoted to the proof of the above mentioned covering theorem. |
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▼a School code: 0030. |
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▼a Mathematics. |
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▼a 0405 |
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▼a University of California, Irvine.
▼b Mathematics - Ph.D.. |
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▼t Dissertations Abstracts International
▼g 81-04B. |
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▼t Dissertation Abstract International |
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▼a 0030 |
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▼a Ph.D. |
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▼a 2019 |
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▼a English |
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▼u http://www.riss.kr/pdu/ddodLink.do?id=T15493429
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
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▼a 202002
▼f 2020 |
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▼a ***1008102 |
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▼a E-BOOK |