Contributions to Descriptive Set Theory Page: I
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Dance, Cody. Contributions to Descriptive Set Theory. Doctor of Philosophy
(Mathematics), December 2016, 58 pp., 11 numbered references.
Assume AD+V=L(R). In the first chapter, let W^1_1 denote the club measure
on \omega_ 1. We analyze the embedding j _{W^-1 _1}\restr HOD from the point of
view of inner model theory. We use our analysis to answer a question of Jackson-
Ketchersid about codes for ordinals less than \omega_\omega. In the second chapter,
we provide an indiscernibles analysis for models of the form L[Tn,x]. We use our
analysis to provide new proofs of the strong partition property on \delta^ 1_{2n+1}
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Dance, Cody. Contributions to Descriptive Set Theory, dissertation, December 2016; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc955115/m1/2/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .