On a lower continuity of upper continuous mappings with values in the Sorgenfrey line(in Ukrainian)

Author V. K. Maslyuchenko, O. V. Maslyuchenko, O. G. Fotiy
vmaslyuchenko@ukr.net, ofotiy@ukr.net; ovmasl@gmail.com
×åðí³âåöüêèé íàö³îíàëüíèé óí³âåðñèòåò; Áóêîâèíñüêèé äåðæàâíèé ô³íàíñîâî-åêîíîì³÷íèé óí³âåðñèòåò

Abstract We shown that for each lower continuous finite valued mapping from metrizable topological space $X$ in Sorgenfrey line the set of points of upper continuous is residual in $X$.
Keywords Sorgenfrey line; upper semicontinuous multi-valued mapping; lower semicontinuous multi-valued mapping
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Pages 23-29
Volume 40
Issue 1
Year 2013
Journal Matematychni Studii
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