Stability of a fake topological Hilbert space

DOI10.1216/rmjm/1181072905zbMath0801.57015OpenAlexW2078916395MaRDI QIDQ1331456

Jan J. Dijkstra, Jan van Mill

Publication date: 5 December 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072905

zbMATH Keywords

ARHilbert cubeabsolute retractcapsetfake Hilbert spacecontinuum-componentproduct with fake Hilbert space

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topology of infinite-dimensional manifolds (57N20)

Cites Work

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• Boundary sets in the Hilbert cube
• Fake Boundary Sets in the Hilbert Cube
• A Rigid Space Whose Square is the Hilbert Space
• Fake topological Hilbert spaces and characterizations of dimension in terms of negligibility
• On certain sums of Hilbert cubes
• A Fake Topological Hilbert Space