The hyperspace of the regions below of continuous maps is homeomorphic to \(c_{0}\)

DOI10.1016/j.topol.2005.12.009zbMath1111.54008OpenAlexW2118875400MaRDI QIDQ2502944

Yang, Zhongqiang

Publication date: 13 September 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.12.009

zbMATH Keywords

Vietoris topologyHyperspaceHibert cubeAbsorberRegions belowUpper semi-continuous\(c_0\)

Mathematics Subject Classification ID

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

Related Items (15)

Function space of continuous maps from Peano continuum to tree I ⋮ A function space from a compact metrizable space to a dendrite with the hypo-graph topology ⋮ Topological classification of function spaces with the Fell topology. IV. ⋮ A pair of spaces of upper semi-continuous maps and continuous maps ⋮ Function space of continuous maps from \([0, 1\) to tree. II] ⋮ The topological structure of the space of fuzzy compacta ⋮ The topological structure of the set of fuzzy numbers with the supremum metric ⋮ Topological classification of function spaces with the Fell topology. III. ⋮ The hyperspace of the regions below continuous maps with the Fell topology ⋮ Topological classification of function spaces with the Fell topology. I. ⋮ The topological structure of function space of transitive maps ⋮ The space of Lelek fans in the Cantor fan is homeomorphic to Hilbert space ⋮ A topological position of the set of continuous maps in the set of upper semicontinuous maps ⋮ The topological structure of fuzzy sets with endograph metric ⋮ Topological classification of function spaces with the Fell topology. II.

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