2026-09-20T16:00:26Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/345572022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Gerald E. Sacks.
Chan, Alice Shih Ying
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-11-07T12:56:17Z
2006-11-07T12:56:17Z
2006
2006
http://hdl.handle.net/1721.1/34557
71125510
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.
Includes bibliographical references (leaves 32-33).
The Scott rank of a countable structure A, denoted sr(A), was observed by Nadel to be at most wA + 1, where wA4 is the least ordinal not recursive in A. Let T be weakly scattered and L(a,T) be E2-admissible. We give a sufficient condition, the B,-hypothesis, under which T has model A with w4A = a and sr(A) = a + 1. Given the B,-hypothesis, an iterated forcing argument is used to obtain a generic Ta D T such that Th has a model with the desired properties.
by Alice Shih Ying Chan.
Ph.D.
33 leaves
1185111 bytes
1186441 bytes
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application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Models of high rank for weakly scattered theories
Thesis
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