Increasing strong size properties and strong size block properties

Let X be a continuum. The n-fold hyperspace Cn(X), n∈N, is the family of all nonempty closed subsets of X with at most n components, topologized with the Hausdorff metric. Let μ be a strong size map for Cn(X). A strong size level is the subset μ−1(t), with t∈[0,1]. A strong size block is the subset...

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Bibliographic Details
Published in:Topology and its applications 2020-09, Vol.283, p.107339, Article 107339
Main Authors: Capulín-Pérez, Félix, Fuentes-Montes de Oca, Alejandro, Lara-Mejía, Miguel Angel, Orozco-Zitli, Fernando
Format: Article
Language:English
Subjects:
Continuum
Increasing strong size property
n-fold hyperspace
Strong size block
Strong size map
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Summary:Let X be a continuum. The n-fold hyperspace Cn(X), n∈N, is the family of all nonempty closed subsets of X with at most n components, topologized with the Hausdorff metric. Let μ be a strong size map for Cn(X). A strong size level is the subset μ−1(t), with t∈[0,1]. A strong size block is the subset μ−1([s,t]), with 0≤s
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2020.107339