| Abstract: | A new method for extending upper semicontinuousUV
n
-valued mappings is introduced. Any upper semicontinuousUV
n
-valued mapping Ψ:A→Y of a closed subsetA of a separable metric spaceX into ann-connected, locallyn-connected complete metric spaceY satisfying the property of disjoint (n+1)-disks is proved to be extendable to an upper semicontinuousUV
n
-valued mapping Ψ′:X→Y such that Ψ′|a=Ψ. As an application, some results aboutn-soft mappings are obtained.
Translated fromMatematicheskie Zametki, Vol. 66, No. 3, pp. 351–363, September, 1999. |
