Equivariant embedding of metrizable $G$-spaces in linear $G$-spaces
| dc.creator | Feragen, Aasa | |
| dc.date | 2006-11-08 | |
| dc.date.accessioned | 2026-07-07T07:32:39Z | |
| dc.date.available | 2026-07-07T07:32:39Z | |
| dc.description | Given a Lie group $G$ we study the class $\M$ of proper metrizable $G$-spaces with metrizable orbit spaces, and show that any $G$-space $X \in \M$ admits a closed $G$-embedding into a convex $G$-subset $C$ of some locally convex linear $G$-space, such that $X$ has some $G$-neighborhood in $C$ which belongs to the class $\M$. As corollaries we see that any $G$-ANE for $\M$ has the $G$-homotopy type of some $G$-CW complex and that any $G$-ANR for $\M$ is a $G$-ANE for $\M$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611239 | |
| dc.identifier | http://arxiv.org/abs/math/0611239 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119185 | |
| dc.subject | General Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57S20 | |
| dc.title | Equivariant embedding of metrizable $G$-spaces in linear $G$-spaces | |
| dc.type | text |