On finite-dimensional maps
| dc.creator | Tuncali, H. Murat | |
| dc.creator | Valov, Vesko | |
| dc.date | 2002-09-06 | |
| dc.date.accessioned | 2026-07-07T04:50:40Z | |
| dc.date.available | 2026-07-07T04:50:40Z | |
| dc.description | Let $f\colon X\to Y$ be a perfect surjective map of metrizable spaces. It is shown that if $Y$ is a $C$-space (resp., $\dim Y\leq n$ and $\dim f\leq m$), then the function space $C(X,\uin^{\infty})$ (resp., $C(X,\uin^{2n+1+m})$) equipped with the source limitation topology contains a dense $G_δ$-set $\mathcal{H}$ such that $f\times g$ embeds $X$ into $Y\times\uin^{\infty}$ (resp., into $Y\times\uin^{2n+1+m}$) for every $g\in\mathcal{H}$. Some applications of this result are also given. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209074 | |
| dc.identifier | http://arxiv.org/abs/math/0209074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64876 | |
| dc.subject | General Topology | |
| dc.subject | 54F45; 55M10 | |
| dc.title | On finite-dimensional maps | |
| dc.type | text |