Parametric Bing and Krasinkiewicz maps: revisited
| dc.creator | Valov, Vesko | |
| dc.date | 2008-12-15 | |
| dc.date | 2009-01-04 | |
| dc.date.accessioned | 2026-07-07T12:23:32Z | |
| dc.date.available | 2026-07-07T12:23:32Z | |
| dc.description | Let $M$ be a complete metric $ANR$-space such that for any metric compactum $K$ the function space $C(K,M)$ contains a dense set of Bing (resp., Krasinkiewicz) maps. It is shown that $M$ has the following property: If $f\colon X\to Y$ is a perfect surjection between metric spaces, then $C(X,M)$ with the source limitation topology contains a dense $G_δ$-subset of maps $g$ such that all restrictions $g|f^{-1}(y)$, $y\in Y$, are Bing (resp., Krasinkiewicz) maps. We apply the above result to establish some mapping theorems for extensional dimension. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0812.2899 | |
| dc.identifier | http://arxiv.org/abs/0812.2899 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214021 | |
| dc.subject | General Topology | |
| dc.subject | Geometric Topology | |
| dc.subject | 54F15, 54F45 (Primary) 54E40 (Secondary) | |
| dc.title | Parametric Bing and Krasinkiewicz maps: revisited | |
| dc.type | text |