Homotopy Groups of the Space of Curves on a Surface
| dc.creator | Tchernov, Vladimir | |
| dc.date | 1999-06-18 | |
| dc.date.accessioned | 2026-07-07T06:34:31Z | |
| dc.date.available | 2026-07-07T06:34:31Z | |
| dc.description | We explicitly calculate the fundamental group of the space $\mathcal F$ of all immersed closed curves on a surface $F$. It is shown that $π_n(\mathcal F)=0$, n>1 for $F\neq S^2, RP^2$. It is also proved that $π_2(\mathcal F)=\Z$, and $π_n(\mathcal F)=π_n(S^2)\oplusπ_{n+1}(S^2)$, n>2, for $F$ equal to $S^2$ or $RP^2$. | |
| dc.description | 8 pages, 1 figure This paper will appear in Math. Scand. probably in Vol. 86, no. 1, 2000 | |
| dc.identifier | https://arxiv.org/abs/math/9906123 | |
| dc.identifier | http://arxiv.org/abs/math/9906123 | |
| dc.identifier | Math. Scand. 86 (2000), no. 1, 36--44. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99548 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C42, 57M99 (Primary) | |
| dc.title | Homotopy Groups of the Space of Curves on a Surface | |
| dc.type | text |