Homotopy in non metrizable omega-bounded surfaces
| dc.creator | Baillif, Mathieu | |
| dc.date | 2006-03-21 | |
| dc.date | 2006-06-30 | |
| dc.date.accessioned | 2026-07-07T07:07:08Z | |
| dc.date.available | 2026-07-07T07:07:08Z | |
| dc.description | We investigate the problem of describing the homotopy classes $[X,Y]$ of continuous functions between $ω$-bounded non metrizable manifolds $X,Y$. We define a family of surfaces $X$ built with the first octant $C$ in $L^2$ ($L$ is the longline and $R$ the longray), and show that $[X,R]$ is in bijection with so called `adapted' subsets of a partially ordered set. We also show that $[M,R]$ can be computed for some surfaces $M$ that, unlike $C$, do not contain $R$. This indicates that when $X,Y$ are $ω$-bounded non metrizable surfaces, there might be a link between $[X,Y]$ and the concept of $Y$-directions in X$. Many pictures are used and the proofs are quite detailed. | |
| dc.description | 17 pages, 13 figures. Version 2 : minor corrections, Appendix B replaced by a reference | |
| dc.identifier | https://arxiv.org/abs/math/0603515 | |
| dc.identifier | http://arxiv.org/abs/math/0603515 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110280 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N99, 14F35 | |
| dc.title | Homotopy in non metrizable omega-bounded surfaces | |
| dc.type | text |