In which metric spaces are parallel bodies of closed sets closed?

DOI10.1017/S0013091500016977zbMath0488.54017MaRDI QIDQ3949663

Gerald A. Beer

Publication date: 1983

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

ball multifunctionsparallel bodies of hypographs of upper semicontinuous functions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Metric spaces, metrizability (54E35)

Cites Work

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• Metric characterizations of upper semicontinuity
• The approximation of upper semicontinuous multifunctions by step multifunctions
• Upper semicontinuous functions and the Stone approximation theorem
• Starshaped sets and the Hausdorff metric
• A study of multivalued functions
• Sets of constant distance from a planar set
• Basically Bounded Sets and a Generalized Heine-Borel Theorem

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