%0 Journal Article
%T Topological classification of the hyperspaces of polyhedral convex sets in normed spaces
%A I. V. Hetman
%J Matematychni Studii
%D 2013
%I Lviv Mathematical Society, VNTL Publishers
%X We prove that, for a normed space $X$ of dimension $dim(X)ge2$ the space $PConv_H(X)$ of non-empty polyhedral convexsubsets of $X$ endowed with the Hausdorff metric ishomeomorphic to the topological sum ${0}oplus |X^*| imes(IRoplus (IR imesarIR_+)oplus ssigma)$, where thecardinal $|X^*|$ is endowed with the discrete topology.
%K hyperspace
%K polyhedral convex set
%U http://matstud.org.ua/texts/2013/39_2/203-211.pdf