Hyperspaces of finite subsets as boundary sets

DOI10.1016/0166-8641(86)90081-7zbMath0575.54009OpenAlexW2085803413MaRDI QIDQ1064561

D. W. Curtis

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0166-8641(86)90081-7

zbMATH Keywords

Hilbert cubePeano continuum\(\sigma \) Z-setconnected, locally path-connected, \(\sigma \) -compact metric spacefd-cap sethyperspace of all nonempty finite subsets

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Topological characterizations of particular spaces (54F65) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Topology of infinite-dimensional manifolds (57N20)

Related Items

On a hyperspace of compact subsets which is homeomorphic to a non-separable Hilbert space, Boundary sets for growth hyperspaces, Hyperspaces of finite subsets, homeomorphic to pre-Hilbert spaces, Simplicial complexes triangulating infinite-dimensional manifolds, More absorbers in hyperspaces, The topological structure of fuzzy sets with sendograph metric, Blockers in hyperspaces, On the topological structure of spaces of fuzzy compacta, Finite subset spaces of graphs and punctured surfaces, Describing topology on the set of persistence diagrams, THE COMPLEXITY OF HOMEOMORPHISM RELATIONS ON SOME CLASSES OF COMPACTA, Unnamed Item, Hyperspaces of compact sets in metric linear spaces, Boundary sets in the Hilbert cube, Hyperspaces of finite subsets which are homeomorphic to \(\aleph _ 0\)- dimensional linear metric spaces, Hyperspaces of non-compact metrizable spaces which are homeomorphic to the Hilbert cube.

Cites Work

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• Hyperspaces of finite subsets which are homeomorphic to \(\aleph _ 0\)- dimensional linear metric spaces
• Some Applications of The Topological Characterizations of the Sigma-Compact Spaces l 2 f and &#8721
• Characterizing the Topology of Infinite-Dimensional σ-Compact Manifolds
• Growth Hyperspaces of Peano Continua
• Dense Sigma-Compact Subsets of Infinite-Dimensional Manifolds