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Immediate expansions by valuation of fields

dc.contributor.advisorHaskell, Deirdreen_US
dc.contributor.advisorBradd Hart, Patrick Speisseggeren_US
dc.contributor.authorHong, Jizhanen_US
dc.contributor.departmentMathematics and Statisticsen_US
dc.date.accessioned2014-06-18T17:03:29Z
dc.date.available2014-06-18T17:03:29Z
dc.date.created2013-08-27en_US
dc.date.issued2013-10en_US
dc.description.abstract<p>The main subject of investigation is the so-called "immediate expansion''<br />phenomenon in various first-order valued-field structures over the<br />corresponding underlying field structures. In particular, certain "valued<br />o-minimal fields'', certain Henselian valued fields with non-divisible valued<br />groups, and certain separably closed valued fields of finite imperfection degree, are<br />shown to have this property.</p>en_US
dc.description.degreeDoctor of Philosophy (PhD)en_US
dc.identifier.otheropendissertations/8099en_US
dc.identifier.other9139en_US
dc.identifier.other4510407en_US
dc.identifier.urihttp://hdl.handle.net/11375/13278
dc.subjectvaluationen_US
dc.subjectdefinableen_US
dc.subjectimmediate expansionsen_US
dc.subjectseparably closed valued fieldsen_US
dc.subjectvalued o-minimal fieldsen_US
dc.subjectalgebraically closed valued fieldsen_US
dc.subjectintermediate structuresen_US
dc.subjectAlgebraen_US
dc.subjectAlgebraic Geometryen_US
dc.subjectLogic and Foundationsen_US
dc.subjectAlgebraen_US
dc.titleImmediate expansions by valuation of fieldsen_US
dc.typethesisen_US

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