The spaces for which each $\delta$-continuous function can be extended to a $2\delta$-small point-open l.s.c\. multifunction (resp. point-closed u.s.c\. multifunction) are studied. Some sufficient conditions and counterexamples are given.
@article{116951,
author = {Alessandro Fedeli and Jan Pelant},
title = {On $\delta $-continuous selections of small multifunctions and covering properties},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {32},
year = {1991},
pages = {155-159},
zbl = {0734.54010},
mrnumber = {1118298},
language = {en},
url = {http://dml.mathdoc.fr/item/116951}
}
Fedeli, Alessandro; Pelant, Jan. On $\delta $-continuous selections of small multifunctions and covering properties. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 155-159. http://gdmltest.u-ga.fr/item/116951/
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