Abstract
Following an idea of Marjanović [9] we prove an extensive generalization of the Blaschke convergence theorem. Using similar methods we are able to give the solution of a problem concerning the compactness of families of starshaped sets in a topological linear space, which was posed by Valentine [11].
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Literatur
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Dierolf, P. Über den Auswahlsatz von Blaschke und ein Problem von Valentine. Manuscripta Math 3, 289–304 (1970). https://doi.org/10.1007/BF01338661
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DOI: https://doi.org/10.1007/BF01338661