Topological classification of function spaces with the Fell topology. III.

DOI10.1016/j.topol.2015.10.014zbMath1342.54012OpenAlexW4205428622MaRDI QIDQ897981

Yanmei Zheng, Liangzhi Chen, Yang, Zhongqiang

Publication date: 8 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.10.014

zbMATH Keywords

Fell topologyfunction space\(k\)-spacesubmetrizable spacedense set of isolated points

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topology of infinite-dimensional manifolds (57N20)

Related Items (9)

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. ⋮ Subspaces of interval maps related to the topological entropy ⋮ Lusin and Suslin properties of function spaces ⋮ Function space of continuous maps from \([0, 1\) to tree. II] ⋮ The topological structure of function space of transitive maps ⋮ Characterizations of endograph metric and \(\Gamma\)-convergence on fuzzy sets ⋮ Baire category properties of function spaces with the Fell hypograph topology

Cites Work

• Topological classification of function spaces with the Fell topology. I.
• 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
• Mappings onto metric space
• The space of infinite-dimensional compacta and other topological copies of \((l_ f^ 2)^ \omega\)
• A note on the Arens' space and sequential fan
• The hyperspace of the regions below continuous maps with the Fell topology
• Topological classification of function spaces with the Fell topology. II.
• The hyperspace of the regions below of continuous maps is homeomorphic to \(c_{0}\)
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