Hyperspaces of non-compact metrizable spaces which are homeomorphic to the Hilbert cube.

DOI10.1016/S0166-8641(02)00097-4zbMath1034.54008MaRDI QIDQ1868861

Katsuro Sakai, Yang, Zhongqiang

Publication date: 28 April 2003

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

zbMATH Keywords

Hilbert cubeFell topologyHyperspacesFinite setsCompact setsClosed setsPseudo-boundary

Mathematics Subject Classification ID

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

Related Items (11)

Function space of continuous maps from Peano continuum to tree I ⋮ On generic continuity of maps to posets with metrics ⋮ Function space of continuous maps from \([0, 1\) to tree. II] ⋮ The topological structure of the set of fuzzy numbers with the supremum metric ⋮ Complete metric absolute neighborhood retracts ⋮ The hyperspace of the regions below continuous maps with the Fell topology ⋮ Hyperspaces of separable Banach spaces with the Wijsman topology ⋮ A Hilbert cube compactification of the function space with the compact-open topology ⋮ The hyperspace of the regions below of continuous maps is homeomorphic to \(c_{0}\) ⋮ The topological structure of fuzzy sets with endograph metric ⋮ Homotopical properties of hyperspaces of generalized continua: the proper and ordinary cases

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