Hurewicz theorem for extension dimension
| dc.creator | Brodsky, N. | |
| dc.creator | Chigogidze, A. | |
| dc.date | 2002-04-25 | |
| dc.date.accessioned | 2026-07-07T04:48:05Z | |
| dc.date.available | 2026-07-07T04:48:05Z | |
| dc.description | We prove a new selection theorem for multivalued mappings of C-space. Using this theorem we prove extension dimensional version of Hurewicz theorem for a closed mapping $f\colon X\to Y$ of $k$-space $X$ onto paracompact $C$-space $Y$: if for finite $CW$-complex $M$ we have $\ed Y\le [M]$ and for every point $y\in Y$ and every compactum $Z$ with $\ed Z\le [M]$ we have $\ed(f^{-1}(y)\times Z)\le [L]$ for some $CW$-complex $L$, then $\ed X\le [L]$. | |
| dc.identifier | https://arxiv.org/abs/math/0204319 | |
| dc.identifier | http://arxiv.org/abs/math/0204319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63918 | |
| dc.subject | Algebraic Topology | |
| dc.subject | General Topology | |
| dc.subject | 55M10; 54C65 | |
| dc.title | Hurewicz theorem for extension dimension | |
| dc.type | text |