Homotopy characterization of ANR mapping spaces
| dc.creator | Smrekar, Jaka | |
| dc.date | 2007-08-27 | |
| dc.date | 2007-08-29 | |
| dc.date.accessioned | 2026-07-07T08:26:04Z | |
| dc.date.available | 2026-07-07T08:26:04Z | |
| dc.description | Let Y be an absolute neighborhood retract (ANR) for the class of metric spaces and let X be a Hausdorff space. Let map(X,Y) denote the space of continuous maps from X to Y with the compact open topology. It is shown that if X is a CW complex then map(X,Y) is an ANR for the class of metric spaces if and only if map(X,Y) is metrizable and has the homotopy type of a CW complex. The same holds also when X is a compactly generated hemicompact space (metrizability assumption is void in this case). | |
| dc.description | Simplification of proof of Theorem 1.2 and minor changes | |
| dc.identifier | https://arxiv.org/abs/0708.3697 | |
| dc.identifier | http://arxiv.org/abs/0708.3697 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136822 | |
| dc.subject | Algebraic Topology | |
| dc.subject | General Topology | |
| dc.subject | 55p99 | |
| dc.title | Homotopy characterization of ANR mapping spaces | |
| dc.type | text |