Geodesic
Hyperspaces of Peano continua of euclidean spaces
Helma Gladdines1 ; Jan van Mill1
1Faculteit Wiskunde en Informatica Vrije Universiteit De Boelelaan 1081A Amsterdam, The Netherlands
Fundamenta Mathematicae, Tome 142 (1993) no. 2, pp. 173-188
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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 $B^∞$, where B denotes the pseudo-boundary of the Hilbert cube Q.
DOI : 10.4064/fm-142-2-173-188
Keywords: Hilbert cube, Hilbert space, absorbing system, Z-set, $F_{σδ}$, hyperspace, Peano continuum, $ℝ^n$

Helma Gladdines  1   ; Jan van Mill   1

1 Faculteit Wiskunde en Informatica Vrije Universiteit De Boelelaan 1081A Amsterdam, The Netherlands 
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Helma Gladdines; Jan  van Mill . Hyperspaces of Peano continua of euclidean spaces. Fundamenta Mathematicae, Tome 142 (1993) no. 2, pp. 173-188. doi: 10.4064/fm-142-2-173-188

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