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}
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc955115 |
| Date | 12 1900 |
| Creators | Dance, Cody |
| Contributors | Jackson, Stephen, Gao, Su, Krueger, John |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | Text |
| Rights | Public, Dance, Cody, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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