%0 Journal Article
%T On H1-compositors and piecewise continuous mappings (in Ukrainian)
%A O. O. Karlova
%A O. V. Sobchuk
%J Matematychni Studii
%D 2012
%I Lviv Mathematical Society, VNTL Publishers
%X We introduce the notion of a right $H_1$-compositor and provethat for a hereditarily Baire metrizable space $X$, a normalspace $Y$ and a mapping $fcolon Xo Y$ the followingconditions are equivalent: (i) $f$ is piecewise continuous;(ii) $f$ is $k$-continuous; (iii) $f$ is $G_delta$-measurable;if, moreover, $Y$ is perfect, then (i)--(iii) are equivalentto: (iv) $f$ is a right $H_1$-compositor.
%K right H 1 -compositor
%K right B 1 -compositor
%K mapping of the first Lebesgue class
%K G ¦Ä -measurable mapping
%K piecewise continuous mapping
%K k -continuous mapping
%K weakly k -continuous mapping
%U http://matstud.org.ua/texts/2012/38_2/139-146.pdf