Recognizing the topology of the space of closed convex subsets of a Banach space

DOI10.4064/SM216-1-2zbMath1296.57017arXiv1112.6374OpenAlexW1963748553MaRDI QIDQ2839267

Katsuro Sakai, Taras Banakh, Ivan Hetman

Publication date: 4 July 2013

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.6374

zbMATH Keywords

Hilbert spaceBanach spacepolyhedral convex setKunen-Shelah propertyspace of closed convex sets

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Hyperspaces in general topology (54B20) Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26) Convex sets in topological linear spaces; Choquet theory (46A55) Other set-theoretic hypotheses and axioms (03E65) Topology of infinite-dimensional manifolds (57N20)

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