Abstract
In this paper we study the existence of weighted graph-approximations of $w$-carriers whose values satisfy a certain $w$-$UV$-property. In particular, we prove that any upper semicontinuous set-valued map with compact and acyclic values (with respect to the Čech homology with rational coefficients) from a compact ANR to an ANR admits arbitrarily close weighted graph-approximations.
Citation
Robert Skiba. "Graph-approximation of multivalued weighted maps." Topol. Methods Nonlinear Anal. 29 (1) 119 - 161, 2007.
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