2019
DOI: 10.4153/cmb-2018-030-x
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-parametrization in O-minimal Structures

Abstract: We give a geometric and elementary proof of the uniform$\mathscr{C}^{p}$-parametrization theorem of Yomdin and Gromov in arbitrary o-minimal structures.

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Cited by 3 publications
(1 citation statement)
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“…In both Pila-Wilkie's and Burguet's papers, the problem is resolved by an additional approximation argument on C r -smooth maps. We also remark that Kocel-Cynk, Pawlucki and Vallete have given a proof based on a somewhat different approach in the general o-minimal setting [5].…”
Section: The Yomdin-gromov Lemmamentioning
confidence: 99%
“…In both Pila-Wilkie's and Burguet's papers, the problem is resolved by an additional approximation argument on C r -smooth maps. We also remark that Kocel-Cynk, Pawlucki and Vallete have given a proof based on a somewhat different approach in the general o-minimal setting [5].…”
Section: The Yomdin-gromov Lemmamentioning
confidence: 99%