Density of Morse functions
on sets definable in o-minimal structures
Annales Polonici Mathematici, Tome 89 (2006) no. 3, pp. 289-299
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 $C^p$ functions endowed with the Whitney topology.
Keywords:
present tameness property sets definable o minimal structures showing morse functions definable closed set form dense subset space definable functions endowed whitney topology
Affiliations des auteurs :
Ta Lê Loi  1
@article{10_4064_ap89_3_5,
author = {Ta L\^e Loi},
title = {Density of {Morse} functions
on sets definable in o-minimal structures},
journal = {Annales Polonici Mathematici},
pages = {289--299},
year = {2006},
volume = {89},
number = {3},
doi = {10.4064/ap89-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap89-3-5/}
}
Ta Lê Loi. Density of Morse functions on sets definable in o-minimal structures. Annales Polonici Mathematici, Tome 89 (2006) no. 3, pp. 289-299. doi: 10.4064/ap89-3-5
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