منابع مشابه
Hyperspaces of Peano continua of euclidean spaces
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) is homeomorphic to B∞, where B denotes the pseudo-boundary of the Hilbert cube Q. Introduction. For a space X, C(X) denotes the hyperspace of all nonempty subcontinua of X. It is known that for a Peano continuum X without free arcs, C(X) ≈ Q, where Q denotes the H...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1968
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10912