Graph-approximation of multivalued weighted maps

Robert Skiba

DOI: http://dx.doi.org/10.12775/TMNA.2007.006

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.

Keywords


Weighted maps; graph-approximation; UV-property

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