Infinite determinacy on a closed set for smooth germs with non-isolated singularities
| dc.creator | Thilliez, Vincent | |
| dc.date | 2004-06-13 | |
| dc.date | 2004-10-18 | |
| dc.date.accessioned | 2026-07-07T08:06:17Z | |
| dc.date.available | 2026-07-07T08:06:17Z | |
| dc.description | We give necessary and sufficient conditions of infinite determinacy for smooth function germs whose critical locus contains a given set. This set is assumed to be the zero variety X of some analytic map germ having maximal rank on a dense subset of X. We obtain a result in terms of Lojasiewicz estimates which extends, in particular, previous works by Sun & Wilson on line singularities, and by Grandjean on singularities of codimension 1 or 2. | |
| dc.description | 9 pages, AMS-LaTeX - cosmetic changes | |
| dc.identifier | https://arxiv.org/abs/math/0406259 | |
| dc.identifier | http://arxiv.org/abs/math/0406259 | |
| dc.identifier | Proc. Amer. Math. Soc. 134 (2006), 1527-1536 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130556 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 58K40 | |
| dc.title | Infinite determinacy on a closed set for smooth germs with non-isolated singularities | |
| dc.type | text |