Closed graph multi-selections
Fundamenta Mathematicae, Tome 211 (2011) no. 1, pp. 85-99.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm211-1-5
Keywords: classical lefschetz result about point finite covers normal spaces generalised showing every lower semi continuous mapping normal space nonempty compact subsets metrizable space admits closed graph multi selection several applications given

Valentin Gutev 1

1 School of Mathematical Sciences University of KwaZulu-Natal Westville Campus Private Bag X54001 Durban 4000, South Africa
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Valentin Gutev. Closed graph multi-selections. Fundamenta Mathematicae, Tome 211 (2011) no. 1, pp. 85-99. doi : 10.4064/fm211-1-5. http://geodesic.mathdoc.fr/articles/10.4064/fm211-1-5/

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