Abstract
All known examples in the plane of widely connected sets, finitelycontaining connected sets, and biconnected sets without dispersion point are such that their closures are indecomposable continua. Here we propose to give examples of these types of connected sets whose closures are domains.' The imbedding space is the euclidean plane and, wherever needed, the hypothesis of the continuum and Zermelo's axiom are assumed.
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