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Charactering the set of endpoints of a certain class of chainable continua
by
Julien Doucet
Louisiana State University at Alexandria
The set of endpoints of a certain class of chainable continua, called zigzags, turns out to be G-delta and zero dimensional. It is bounded if the continuum lies in the plane. We shall investigate if any bounded G-delta zero dimensional set in the plane can be the set of endpoints of a zigzag (and hence a chainable continua).
Date received: February 28, 2008
Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cawy-23.