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http://hdl.handle.net/11375/17335| Title: | Definite Forms in Valued Fields |
| Authors: | Miller-Sims, Laurel G. |
| Advisor: | Haskell, Deirdre |
| Department: | Mathematics |
| Keywords: | valued, fields, subsets, henselian |
| Publication Date: | Apr-2009 |
| Abstract: | <p> Let K = (K, v, ... ) be a model of a model-complete theory, T of valued fields. We characterise, for certain definable subsets S of K^n, the collections of S-T-integral definite and S-T-infinitesimal definite rational functions. Specifically, we consider subsets S defined by both integrality and infinitesimality conditions for the theories of algebraically closed valued fields, p-adically closed fields, two model-complete theories of valued D-fields and in two model-complete theories of henselian residually valued fields.</p> |
| URI: | http://hdl.handle.net/11375/17335 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Miller-Sims_Laurel_G._2009:04_Ph.D..pdf | 1.73 MB | Adobe PDF | View/Open |
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