Abstract
It is proved that if X is a (metric) continuum, if C( X) is the space of nonempty closed connected subsets of X with the Hausdorff metric, and if A 1,…, A n are members of C( X) such that each of the sets C( X)-{ A i } is arcwise connected, then C( X)-{ A 1,…, A n } is arcwise connected.
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