A topological position of the set of continuous maps in the set of upper semicontinuous maps

DOI10.1007/s11425-008-0152-6zbMath1184.54013OpenAlexW2016817934MaRDI QIDQ1043001

Nada Wu, Yang, Zhongqiang

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0152-6

zbMATH Keywords

continuous mapsHilbert cubecompact-supportedstrongly universalupper semi-continuous maps

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Topology of infinite-dimensional manifolds (57N20)

Related Items (11)

Function space of continuous maps from Peano continuum to tree I ⋮ The topological structure of the set of fuzzy numbers with \(L_p\) metric ⋮ Topological classification of function spaces with the Fell topology. IV. ⋮ Function space of continuous maps from \([0, 1\) to tree. II] ⋮ The topological structure of the space of fuzzy compacta ⋮ 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 topological structure of fuzzy sets with endograph metric ⋮ Topological classification of function spaces with the Fell topology. II.

Cites Work

• A pair of spaces of upper semi-continuous maps and continuous maps
• Characterizing certain incomplete infinite-dimensional absolute retracts
• The space of infinite-dimensional compacta and other topological copies of \((l_ f^ 2)^ \omega\)
• 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
• Characterizing Hilbert space topology
• Hyperspaces of Peano continua are Hubert cubes
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