Geodesic
On $\delta $-continuous selections of small multifunctions and covering properties
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 1, pp. 155-159
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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.
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.
Classification : 54C60, 54C65, 54D18, 54D20
Keywords: $\delta $-continuous selections; small multifunctions; paracompactness; orthocompactness 
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Fedeli, Alessandro; Pelant, Jan. On $\delta $-continuous selections of small multifunctions  and covering properties. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 1, pp. 155-159. http://geodesic.mathdoc.fr/item/CMUC_1991_32_1_a15/

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