Vietoris continuous selections and disconnectedness-like properties

DOI10.1090/S0002-9939-01-05883-XzbMath0973.54021OpenAlexW2165451090MaRDI QIDQ2716128

Tsugunori Nogura, Valentin G. Gutev

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05883-x

zbMATH Keywords

zero-dimensionality

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Selections in general topology (54C65) Dimension theory in general topology (54F45)

Related Items (17)

A topology generated by selections ⋮ Weak selections and suborderable metrizable spaces ⋮ Approaching points by continuous selections ⋮ Scattered spaces and selections ⋮ Continuous weak selections for products ⋮ Coarser Compact Topologies ⋮ Selection topologies ⋮ Orderability in the presence of local compactness ⋮ King spaces and compactness ⋮ Selection pointwise-maximal spaces ⋮ Weak orderability of topological spaces ⋮ Spaces determined by selections ⋮ Weak selections and weak orderability of function spaces ⋮ Set-maximal selections ⋮ Selections and countably-approachable points ⋮ Uniform quasi components, thin spaces and compact separation ⋮ Extreme selections for hyperspaces of topological spaces

Cites Work

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• Existence of selections and disconnectedness properties for the hyperspace of an ultrametric space
• Characterizations of intervals via continuous selections
• Recognizing special metrics by topological properties of the ``metric-proximal hyperspace
• Topological well-ordering and continuous selections
• Selections and Orderability
• The dimension of product spaces
• On the Dimension of Product Spaces and an Example of M. Wage
• Selections for Vietoris-Like Hyperspace Topologies
• Topologies on Spaces of Subsets
• Selectors and scattered spaces

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