%0 Journal Article
%T Diagonals of separately continuous multi-valued mappings (in Ukrainian)
%A V. V. Mykhaylyuk
%A O. V. Sobchuk
%A O. G. Fotiy
%J Matematychni Studii
%D 2013
%I Lviv Mathematical Society, VNTL Publishers
%X We solve the problem on a construction of a separatelycontinuous mapping with the given diagonal, which is thepointwise limit of a sequence of continuous mappings withvalues in an equiconnected space. We construct an example of aclosed-valued separately continuous mapping $fcolon[0,1]^2multimap mathbb R$ with an everywhere discontinuousdiagonal. The example shows that the results on points of jointcontinuity for compact-valued separately continuous mappingscan not be generalized to the case of closed-valued mappings.
%K separately continuous mapping
%K multi-valued mapping
%K diagonal of mapping
%U http://matstud.org.ua/texts/2013/39_1/93-98.pdf