Models of high rank for weakly scattered theories
Name
71125510-MIT.pdf
Description
Full printable version
Size
1.13 MB
Format
Adobe PDF
Checksum (MD5)
8817486868e3f23fb94693e50cb4a033
Author(s)
Chan, Alice Shih Ying
Advisor(s)
Gerald E. Sacks.
Date Issued
2006
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.
Includes bibliographical references (leaves 32-33).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Persistent DSpace Link
