Displaying similar documents to “Superextensions of metrizable continua are Hilbert cubes”

Hyperspaces of Peano continua of euclidean spaces

Helma Gladdines, Jan van Mill (1993)

Fundamenta Mathematicae

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If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We prove that for n ≥ 3 the space L ( n ) is homeomorphic to B , where B denotes the pseudo-boundary of the Hilbert cube Q.