Characterizing Continua by Disconnection Properties
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Published:1998-09-01
Issue:3
Volume:41
Page:348-358
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Tymchatyn E. D.,Yang Chang-Cheng
Abstract
AbstractWe study Hausdorff continua in which every set of certain cardinality contains a subset which disconnects the space. We show that such continua are rimfinite. 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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics