EUDML | Superextensions of metrizable continua are Hilbert cubes

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

Recent results on superextensions

van Mill, Jan

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A boundary set for the Hilbert cube containing no arcs

Jan van Mill (1983)

Fundamenta Mathematicae

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Identifying Hilbert cubes: general methods and their application to hyperspaces by Schori and West

West, J. E.

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Hilbert cube modulo an arc

Zvonko Čerin (1978)

Fundamenta Mathematicae

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A generalization of a theorem of Skala

Helmut Länger (1981)

Fundamenta Mathematicae

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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 $L (ℝ^{n})$ is homeomorphic to $B^{\infty}$ , where B denotes the pseudo-boundary of the Hilbert cube Q.