A Selection Theorem for Topological Convex Structures

DOI10.2307/2154358zbMath0781.52002OpenAlexW4252098294MaRDI QIDQ4039329

Marcel van de Vel

Publication date: 11 August 1993

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154358

zbMATH Keywords

treeWhitney mapcontinuous selectionabsolute retractconvex hyperspaceconvex systemcompact semilatticeKakutani separation propertyLSC multifunctionmetric convex structurespace of order arcsuniform convex structure

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Axiomatic and generalized convexity (52A01) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Dimension theory in general topology (54F45) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered topological structures (06F30) Connections of general topology with other structures, applications (54H99) Higher-dimensional local connectedness (54F35)

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