engleski

Arc-smooth continuum X admits a Whitney map for C(X) iff it is metrizable

Let X be a non-metric continuum, and C(X) be the hyperspace of subcontinua of X. In this paper we prove that an arc-smooth continuum X admits Whitney map for C(X) if and only if it is metrizable.

arc-smooth continuum; arboroid; hyperspace; inverse system; Whitney map

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