Contributions to Descriptive Set Theory

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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[T_n,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 December 2016.

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  • Dance, Cody

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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[T_n,x]. We use our analysis to provide new proofs of the strong partition property on \delta^1_{2n+1}

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  • December 2016

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  • Feb. 19, 2017, 7:42 p.m.

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Dance, Cody. Contributions to Descriptive Set Theory, dissertation, December 2016; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc955115/: accessed September 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .