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NaslovThe hyperspace of totally disconnected sets / Raúl Escobedo, Patricia Pellicer-Covarrubias, Vicente Sánchez-Gutiérrez.
Način izrade datotekeizvorno digitalna građa
OpisIn this paper we study the hyperspace of all nonempty closed totally disconnected subsets of a space, equipped with the Vietoris topology. We show results of compactness, connectedness and local connectedness for this hyperspace. We also include a study of path connectedness, particularly we prove that for a smooth dendroid this hyperspace is pathwise connected, and we present a general result which implies that for an Euclidean space this hyperspace has uncountably many arc components.
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