The hyperspace of the regions below continuous maps with the Fell topology

DOI10.1007/s10114-012-0030-6zbMath1270.54016OpenAlexW2047569199MaRDI QIDQ1943014

Bao Can Zhang, Yang, Zhongqiang

Publication date: 14 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0030-6

zbMATH Keywords

hyperspaceHilbert cubeFell topologycontinuoushypographuppers semicontinuous

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35)

Related Items (10)

Function space of continuous maps from Peano continuum to tree I ⋮ Network properties of function spaces endowed with the Fell hypograph topology ⋮ Topological classification of function spaces with the Fell topology. IV. ⋮ Lusin and Suslin properties of function spaces ⋮ Function space of continuous maps from \([0, 1\) to tree. II] ⋮ Topological classification of function spaces with the Fell topology. III. ⋮ Topological classification of function spaces with the Fell topology. I. ⋮ The topological structure of function space of transitive maps ⋮ Baire category properties of function spaces with the Fell hypograph topology ⋮ Topological classification of function spaces with the Fell topology. II.

Cites Work

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• A pair of spaces of upper semi-continuous maps and continuous maps
• A topological position of the set of continuous maps in the set of upper semicontinuous maps
• The space of infinite-dimensional compacta and other topological copies of \((l_ f^ 2)^ \omega\)
• Absorbing systems in infinite-dimensional manifolds
• The completions of metric ANR's and homotopy dense subsets
• Hyperspaces of non-compact metrizable spaces which are homeomorphic to the Hilbert cube.
• On some metrics compatible with the Fell-Matheron 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
• Hyperspaces of Peano continua are Hubert cubes

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