The homotopy principle in complex analysis: a survey
| dc.creator | Forstneric, Franc | |
| dc.date | 2003-01-08 | |
| dc.date | 2003-03-03 | |
| dc.date.accessioned | 2026-07-07T04:54:19Z | |
| dc.date.available | 2026-07-07T04:54:19Z | |
| dc.description | This is a survey on the homotopy principle in complex analysis on Stein manifolds, also called the Oka principle in this context. We concentrate on the following topics: the Oka-Grauert principle (classification of holomorphic vector bundles); the homotopy principle for holomorphic mappings from Stein manifolds and, more generally, for sections of holomorphic submersions with sprays; question on removability of intersections of holomorphic mappings with complex subvarieties; embeddings and immersions of Stein manifolds in affine spaces of minimal dimension; embeddings of open Riemann surfaces in the affine plane; noncritical holomorphic functions on Stein manifolds and the Oka principle for holomorphic submersions of Stein manifolds to affine spaces. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301067 | |
| dc.identifier | http://arxiv.org/abs/math/0301067 | |
| dc.identifier | Contemporary Mathematics, 332 (2003), 73-99 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66204 | |
| dc.subject | Complex Variables | |
| dc.subject | 32E10, 32H02, 32L05, 32M17, 58C10, 58D10 | |
| dc.title | The homotopy principle in complex analysis: a survey | |
| dc.type | text |