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Title: The density of algebraic points in sets definable in o-minimal structures
Author: Butler, Lee A.
ISNI:       0000 0004 2725 1512
Awarding Body: University of Bristol
Current Institution: University of Bristol
Date of Award: 2012
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available