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Search: MSC category 54D05 ( Connected and locally connected spaces (general aspects) )

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1. CMB 1998 (vol 41 pp. 348)

Tymchatyn, E. D.; Yang, Chang-Cheng
 Characterizing continua by disconnection properties We study Hausdorff continua in which every set of certain cardinality contains a subset which disconnects the space. We show that such continua are rim-finite. We give characterizations of this class among metric continua. As an application of our methods, we show that continua in which each countably infinite set disconnects are generalized graphs. This extends a result of Nadler for metric continua. Keywords:disconnection properties, rim-finite continua, graphsCategories:54D05, 54F20, 54F50