Topology Proceedings Document # baak-53
topology proceedings
Electronic Version 25 Spring (2000)
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A continuous decomposition of the plane into acyclic continua each of which contains an arc

Carl R. Seaquist

Since 1950 several decompositions of the plane into pseudo-arcs have been described. We construct a continuous decomposition of the plane into nondegenerate acyclic continua none of which is a pseudo-arc. In fact each decomposition element contains a straight line segment. Volume 25 Spring: table of contents
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Copyright © 2001 Auburn University and Topology Atlas | Date: December 24, 2001.