Atriodic Absolute Retracts for Hereditarily Unicoherent Continua
Let X be an absolute retract for the class of hereditarily unicoherent continua that contains no simple triod. In this paper we prove that (a) X is atriodic, (b) X is either an arc or an indecomposable continuum having only arcs as its proper subcontinua; (c) if X is either tree-like or circle-like, then it is arc-like.
W. J. Charatonik et al., "Atriodic Absolute Retracts for Hereditarily Unicoherent Continua," Houston Journal of Mathematics, vol. 30, no. 4, pp. 1069-1088, University of Houston - Mathematics, Jan 2004.
Mathematics and Statistics
Norman Hackerman Advanced Research Program
University of Missouri--Rolla
Keywords and Phrases
Absolute retract; arc approximation property; arc component; arc property of Kelley; continuum; dendroid; hereditarily unicoherent; property of Kelley; retraction; simple triod
International Standard Serial Number (ISSN)
Article - Journal
© 2004 University of Houston - Mathematics, All rights reserved.