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- W2321836530 abstract "Given a metric continuum X, we consider the hyperspace Cn(X) of all nonempty closed subsets of X with at most n components. In this paper we prove that if n 6= 2, X is an indecomposable continuum such that all its proper nondegenerate subcontinua are arcs and Y is a continuum such that Cn(X) is homeomorphic to Cn(Y ), then X is homeomorphic to Y (that is, X has unique hyperspace Cn(X)). Subject Mathematics Classi cation: Primary 54B20, Secondary: 54F15" @default.
- W2321836530 created "2016-06-24" @default.
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- W2321836530 date "2014-12-18" @default.
- W2321836530 modified "2023-10-18" @default.
- W2321836530 title "Uniqueness of hyperspaces of indecomposable arc continua" @default.
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- W2321836530 doi "https://doi.org/10.3336/gm.49.2.14" @default.
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