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Please use this identifier to cite or link to this item: 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

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