Convex Hilbert cubes in superextensions

DOI10.1016/0166-8641(86)90024-6zbMath0588.54026OpenAlexW2124793791MaRDI QIDQ1073385

Marcel van de Vel

Publication date: 1986

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90024-6

zbMATH Keywords

selectionHilbert cubesuperextensionWallman topologymaximal linked systems of closed subsetsmetrizable convex structurenondegenerate compact convex subset

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Topology of infinite-dimensional manifolds (57N20)

Cites Work

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• Boundary sets in the Hilbert cube
• Countable spread of \(\exp Y\) and \(\lambda Y\)
• Superextensions and Lefschetz fixed point structures
• Superextensions of metrizable continua are Hilbert cubes
• On certain sums of Hilbert cubes
• A Selection Theorem for Topological Convex Structures
• On CE-images of the Hubert cube and characterization of Q-manifolds
• Union of Convex Hilbert Cubes
• Binary Convexities and Distributive Lattices
• A Fake Topological Hilbert Space
• A Quick Proof for a One-Dimensional Version of Liapounoff's Theorem

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