Topology of Diophantine Sets: Remarks on Mazur's Conjectures

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dc.creatorCornelissen, Gunther
dc.creatorZahidi, Karim
dc.date2000-06-20
dc.date.accessioned2026-07-07T04:35:57Z
dc.date.available2026-07-07T04:35:57Z
dc.descriptionWe show that Mazur's conjecture on the real topology of rational points on varieties implies that there is no diophantine model of the rational integers in the rational numbers. We also prove that there is a diophantine model of the polynomial ring over a finite field in the ring of rational functions over that finite field. Both proofs depend upon Matijasevich's theorem.
dc.description8 pages, uses ``amsart''
dc.identifierhttps://arxiv.org/abs/math/0006140
dc.identifierhttp://arxiv.org/abs/math/0006140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59436
dc.subjectLogic
dc.subjectNumber Theory
dc.subject03D35, 14G05
dc.titleTopology of Diophantine Sets: Remarks on Mazur's Conjectures
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