TY - JOUR AU - Skiba, Robert PY - 2007/03/01 Y2 - 2024/03/29 TI - Graph-approximation of multivalued weighted maps JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 29 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2007.006 SP - 119 - 161 AB - In this paper we study the existence of weightedgraph-approximations of $w$-carriers whose values satisfy a certain $w$-$UV$-property. In particular, we prove that any uppersemicontinuous set-valued map with compact and acyclic values(with respect to the Čech homology with rationalcoefficients) from a compact ANR to an ANR admits arbitrarilyclose weighted graph-approximations. ER -