상세정보
Export to Refworks부가기능
A Covering Theorem for the Core Model below a Woodin Cardinal
상세 프로파일
| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | A Covering Theorem for the Core Model below a Woodin Cardinal. |
| 개인저자 | Sullivant, Ryan. |
| 단체저자명 | University of California, Irvine. Mathematics - Ph.D.. |
| 발행사항 | [S.l.]: University of California, Irvine., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 92 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781687921918 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Irvine, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Zeman, Martin. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | 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. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
