Density of Morse functions on sets definable in o-minimal structures
Ta Lê Loi
Annales Polonici Mathematici, Tome 89 (2006), p. 289-299 / Harvested from The Polish Digital Mathematics Library
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We present a tameness property of sets definable in o-minimal structures by showing that Morse functions on a definable closed set form a dense and open subset in the space of definable Cp functions endowed with the Whitney topology.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280995 
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     year = {2006},
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Ta Lê Loi. Density of Morse functions on sets definable in o-minimal structures. Annales Polonici Mathematici, Tome 89 (2006) pp. 289-299. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap89-3-5/