Hyperspaces of direct limits of locally compact metric spaces

DOI10.1016/0166-8641(88)90056-9zbMath0661.54015OpenAlexW2065365581MaRDI QIDQ1113125

K. W. Curtis, D. S. Patching

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90056-9

zbMATH Keywords

direct limitHilbert cube manifoldsgeneralized Peano continuaZ-subsets

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Spectra in general topology (54B35)

Cites Work

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• On \({\mathbb{R}}^{\infty}\)-manifolds and \(Q^{\infty}\)-manifolds
• On the topology of direct limits of ANR's
• An alpha-approximation theorem for \(Q^\infty\)-manifolds
• Hyperspaces of graphs are Hilbert cubes
• On topological infinite deficiency
• Extending homeomorphisms to Hilbert cube manifolds
• Hyperspaces of the Inverse Limit Space
• The Hyperspace of the Closed Unit Interval is a Hilbert Cube
• Hyperspaces Homeomorphic to Hilbert Space
• Hyperspaces of polyhedra are Hilbert cubes
• Hyperspaces of Peano continua are Hubert cubes

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