A pair of spaces of upper semi-continuous maps and continuous maps

DOI10.1016/J.TOPOL.2006.12.013zbMath1119.54010OpenAlexW2153489892MaRDI QIDQ880144

Xiaoe Zhou, Yang, Zhongqiang

Publication date: 10 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.12.013

zbMATH Keywords

Vietoris topologyHyperspaceHibert cubeContinuous mapRegions belowUpper semi-continuous

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Compact (locally compact) metric spaces (54E45) Topology of infinite-dimensional manifolds (57N20)

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Cites Work

• Characterizing certain incomplete infinite-dimensional absolute retracts
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• Hyperspaces of separable Banach spaces with the Wijsman topology
• The hyperspace of the regions below of continuous maps is homeomorphic to \(c_{0}\)
• The hyperspace of the regions below of all lattice-value continuous maps and its Hilbert cube compactification
• On Topological Classification of Function Spaces C p (X) of Low Borel Complexity
• On CE-images of the Hubert cube and characterization of Q-manifolds
• Hyperspaces of Peano continua are Hubert cubes
• Hilbert space is homeomorphic to the countable infinite product of lines
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