A geometric proof of the existence of Whitney stratifications
| dc.creator | Kaloshin, Vadim | |
| dc.date | 2000-10-13 | |
| dc.date.accessioned | 2026-07-07T04:38:02Z | |
| dc.date.available | 2026-07-07T04:38:02Z | |
| dc.description | A stratification of a singular set, e.g. an algebraic or analytic variety, is, roughly, a partition of it into manifolds so that these manifolds fit together "regularly". A classical theorem of Whitney says that any complex analytic set has a stratification. This result was extended by Lojasiewicz to real (semi)analytic sets. In this paper we present a short geometric proof of existence of stratifications based on Thom's transversality theorem and Milnor's curve selection lemma and not relying on difficult results of Lojasiewicz. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0010144 | |
| dc.identifier | http://arxiv.org/abs/math/0010144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60128 | |
| dc.subject | Algebraic Geometry | |
| dc.title | A geometric proof of the existence of Whitney stratifications | |
| dc.type | text |