Definite Forms in Valued Fields
| dc.contributor.advisor | Haskell, Deirdre | |
| dc.contributor.author | Miller-Sims, Laurel G. | |
| dc.contributor.department | Mathematics | en_US |
| dc.date.accessioned | 2015-05-20T16:31:28Z | |
| dc.date.available | 2015-05-20T16:31:28Z | |
| dc.date.issued | 2009-04 | |
| dc.description.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> | en_US |
| dc.description.degree | Doctor of Philosophy (PhD) | en_US |
| dc.description.degreetype | Thesis | en_US |
| dc.identifier.uri | http://hdl.handle.net/11375/17335 | |
| dc.language.iso | en_US | en_US |
| dc.subject | valued, fields, subsets, henselian | en_US |
| dc.title | Definite Forms in Valued Fields | en_US |
| dc.type | Thesis | en_US |