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Preprint Number 1838
1838. Gal Binyamini and Dmitry Novikov The Yomdin-Gromov algebraic lemma revisited E-mail: Submission date: 4 September 2020 Abstract: In 1987, Yomdin proved a lemma on smooth parametrizations of semialgebraic
sets as part of his solution of Shub's entropy conjecture for C^∞ maps.
The statement was further refined by Gromov, producing what is now known as the
Yomdin-Gromov algebraic lemma. Several complete proofs based on Gromov's sketch
have appeared in the literature, but these have been considerably more
complicated than Gromov's original presentation due to some technical issues. Mathematics Subject Classification: 03C64, 37B40, 14P10, 11U09 Keywords and phrases: |
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