An extension theorem for continuous functions
Ľubica Holá (1988)
Czechoslovak Mathematical Journal
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Ľubica Holá (1988)
Czechoslovak Mathematical Journal
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Tibor Neubrunn (1985)
Časopis pro pěstování matematiky
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Ľubica Holá (1988)
Mathematica Slovaca
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Valentin Gutev (2011)
Fundamenta Mathematicae
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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.