The hyperspace of the regions below of all lattice-value continuous maps and its Hilbert cube compactification

zbMath1086.54009MaRDI QIDQ2574681

Yang, Zhongqiang

Publication date: 30 November 2005

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

zbMATH Keywords

hyperspaceVietoris topologyHilbert cube\(G_\delta\)-sethomotopy densecontinuous semilatticeLawson semilattice

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continuous lattices and posets, applications (06B35) Topology of infinite-dimensional manifolds (57N20)

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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 hyperspace of the regions below continuous maps with the Fell topology ⋮ The topological structure of function space of transitive maps ⋮ The hyperspace of the regions below of continuous maps is homeomorphic to \(c_{0}\) ⋮ 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

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