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57-XX Manifolds and cell complexes
57Nxx Topological manifolds

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Displaying 61 – 63 of 63

Hyperspaces of infinite-dimensional compacta

Helma Gladdines, Jan Van Mill (1993)

Compositio Mathematica

Hyperspaces of Peano continua are Hubert cubes

D. Curtis, R. Schori (1978)

Fundamenta Mathematicae

Hyperspaces of Peano continua of euclidean spaces

Helma Gladdines, Jan van Mill (1993)

Fundamenta Mathematicae

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.

Currently displaying 61 – 63 of 63

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