The density of algebraic points in sets definable in o-minimal structures
This thesis concerns the study of the density of rational and algebraic points in the transcendental part of sets that are definable in o-minimal structures. An o-minimal version of a reparametrisation result of Yosef Yomdin is proved, Yomdin's result being the prototype of a result used to pro...
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University of Bristol
2012
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ndltd-bl.uk-oai-ethos.bl.uk-5557232015-03-20T05:44:31ZThe density of algebraic points in sets definable in o-minimal structuresButler, Lee A.2012This thesis concerns the study of the density of rational and algebraic points in the transcendental part of sets that are definable in o-minimal structures. An o-minimal version of a reparametrisation result of Yosef Yomdin is proved, Yomdin's result being the prototype of a result used to prove the Pila-Wilkie theorem. Subsequently we concentrate on a specific o-minimal structure, the real exponential field, and prove some partial results towards a conjecture of Wilkie concerning the particular paucity of rational points in sets definable in this structure. 2.511.32University of Bristolhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555723Electronic Thesis or Dissertation |
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511.32 |
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511.32 Butler, Lee A. The density of algebraic points in sets definable in o-minimal structures |
| description |
This thesis concerns the study of the density of rational and algebraic points in the transcendental part of sets that are definable in o-minimal structures. An o-minimal version of a reparametrisation result of Yosef Yomdin is proved, Yomdin's result being the prototype of a result used to prove the Pila-Wilkie theorem. Subsequently we concentrate on a specific o-minimal structure, the real exponential field, and prove some partial results towards a conjecture of Wilkie concerning the particular paucity of rational points in sets definable in this structure. 2. |
| author |
Butler, Lee A. |
| author_facet |
Butler, Lee A. |
| author_sort |
Butler, Lee A. |
| title |
The density of algebraic points in sets definable in o-minimal structures |
| title_short |
The density of algebraic points in sets definable in o-minimal structures |
| title_full |
The density of algebraic points in sets definable in o-minimal structures |
| title_fullStr |
The density of algebraic points in sets definable in o-minimal structures |
| title_full_unstemmed |
The density of algebraic points in sets definable in o-minimal structures |
| title_sort |
density of algebraic points in sets definable in o-minimal structures |
| publisher |
University of Bristol |
| publishDate |
2012 |
| url |
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555723 |
| work_keys_str_mv |
AT butlerleea thedensityofalgebraicpointsinsetsdefinableinominimalstructures AT butlerleea densityofalgebraicpointsinsetsdefinableinominimalstructures |
| _version_ |
1716794263167041536 |