On finite-to-one maps
| dc.creator | Tuncali, H. Murat | |
| dc.creator | Valov, Vesko | |
| dc.date | 2002-09-18 | |
| dc.date | 2002-11-21 | |
| dc.date.accessioned | 2026-07-07T04:50:59Z | |
| dc.date.available | 2026-07-07T04:50:59Z | |
| dc.description | Let $f\colon X\to Y$ be a $σ$-perfect $k$-dimensional surjective map of metrizable spaces such that $\dim Y\leq m$. It is shown that, for every positive integer $p\geq 1$ there exists a dense $G_δ$-subset ${\mathcal H}(k,m,p)$ of $C(X,\uin^{k+p})$ with the source limitation topology such that if $g\in{\mathcal H}(k,m,p)$, then each fiber of $f\triangle g$ contains at most $\max\{m+k-p+2,1\}$ points.This result provides a proof of two hypotheses of S. Bogatyi, V. Fedorchuk and J. van Mill. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209230 | |
| dc.identifier | http://arxiv.org/abs/math/0209230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64988 | |
| dc.subject | General Topology | |
| dc.subject | 54F45; 55M10 | |
| dc.title | On finite-to-one maps | |
| dc.type | text |