Arcwise connectedness of a hyperspace of non-connected subspaces of a continuum
Keywords:
Arcwise connectedness, continuum, decomposability, hyperspaces, terminal subcontinuaAbstract
For a metric continuum X, let Cn(X) be the hyperspace of nonempty closed subsets of X with at most n components. Answering a question by J. Camargo and S. Macías, in this paper we prove that if n ≥ 2 and X is a hereditarily decomposable continuum not containing terminal subcontinua, then Cn(X) \ C1(X) is arcwise connected.
References
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