Smooth shifts along flows
| dc.creator | Maksymenko, Sergey | |
| dc.date | 2001-06-24 | |
| dc.date | 2004-07-07 | |
| dc.date.accessioned | 2026-07-07T04:42:17Z | |
| dc.date.available | 2026-07-07T04:42:17Z | |
| dc.description | Let $Φ$ be a flow on a smooth, compact, finite-dimensional manifold $M$. Consider the subsets $E(Φ)$ and $D(Φ)$ of $C^{\infty}(M,M)$ consisting of smoothh mappings and diffeomorphisms (respectively) of $M$ preserving the foliation of the flow $Φ$. Let also $E_{0}(Φ)$ and $D_{0}(Φ)$ be the identity path components of $E(Φ)$ and $D(Φ)$ with compact-open topology. We prove that under mild conditions on fixed points of $Φ$ the inclusion $D_{0}(Φ) \subset E_{0}(Φ)$ is a homotopy equivalence and these spaces are either contractible or homotopically equivalent to the circle. | |
| dc.description | 25 pages, final version | |
| dc.identifier | https://arxiv.org/abs/math/0106199 | |
| dc.identifier | http://arxiv.org/abs/math/0106199 | |
| dc.identifier | Topology and Applications, 130 (2003) 183-204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61715 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | Functional Analysis | |
| dc.subject | 58D05, 58D15, 57S05, 46T10 | |
| dc.title | Smooth shifts along flows | |
| dc.type | text |