Hyperspaces of Peano continua of euclidean spaces
Volume 142 / 1993
Fundamenta Mathematicae 142 (1993), 173-188
DOI: 10.4064/fm-142-2-173-188
Abstract
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.
