Selections and topological convexity |
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Authors: | Valentin Gutev |
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Institution: | School of Mathematical Sciences, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South Africa |
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Abstract: | A simple natural proof of van de Vel's selection theorem for topological convex structures is given. The technique developed to achieve this proof allows to give also a direct simple proof of the classical Michael's selection theorem in Fréchet spaces, and the Horvath's selection theorem in metric l.c.-spaces. |
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Keywords: | primary 54C60 54C65 52A01 54F35 secondary 54B20 54D15 |
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