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Displaying similar documents to “ c -continuity and closed graphs”

On multifunctions with closed graphs

D. Holý (2001)

Mathematica Bohemica

Similarity:

The set of points of upper semicontinuity of multi-valued mappings with a closed graph is studied. A topology on the space of multi-valued mappings with a closed graph is introduced.

Closed graph multi-selections

Valentin Gutev (2011)

Fundamenta Mathematicae

Similarity:

A classical Lefschetz result about point-finite open covers of normal spaces is generalised by showing that every lower semi-continuous mapping from a normal space into the nonempty compact subsets of a metrizable space admits a closed graph multi-selection. Several applications are given as well.