<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> / Thesis / Doctor of Philosophy (PhD)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/17335 |
| Date | 04 1900 |
| Creators | Miller-Sims, Laurel G. |
| Contributors | Haskell, Deirdre, Mathematics |
| Source Sets | McMaster University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
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