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miami1323475348.pdf (496.03 KB)
ETD Abstract Container
Abstract Header
On Morley's Categoricity Theorem with an Eye Toward Forking
Author Info
Craft, Colin N.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=miami1323475348
Abstract Details
Year and Degree
2011, Master of Arts, Miami University, Mathematics.
Abstract
The primary result of this paper is Morley's Categoricity Theorem that a complete theory T which is κ-catecorigal for some uncountable cardinal κ is λ-categorical for every uncountable cardinal λ. We prove this by proving a characterization of uncountably categorical theories due to Baldwin and Lachlan. Before the actual statement and proof of Morley's theorem, we give an overview of the prerequisites from mathematical logic needed to understand the theorem and its proof. After proving Morley's theorem we briefly indicate some possible directions of further study having to do with forking and the related notion of independence of types.
Committee
Paul Larson (Advisor)
Reza Akhtar (Committee Member)
Dennis Burke (Committee Member)
Pages
65 p.
Subject Headings
Mathematics
Keywords
model theory
;
Morley's Categoricity Theorem
;
forking
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Citations
Craft, C. N. (2011).
On Morley's Categoricity Theorem with an Eye Toward Forking
[Master's thesis, Miami University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=miami1323475348
APA Style (7th edition)
Craft, Colin.
On Morley's Categoricity Theorem with an Eye Toward Forking.
2011. Miami University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=miami1323475348.
MLA Style (8th edition)
Craft, Colin. "On Morley's Categoricity Theorem with an Eye Toward Forking." Master's thesis, Miami University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=miami1323475348
Chicago Manual of Style (17th edition)
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Document number:
miami1323475348
Download Count:
597
Copyright Info
© 2011, all rights reserved.
This open access ETD is published by Miami University and OhioLINK.