Atriodic Absolute Retracts for Hereditarily Unicoherent Continua

• Autores: Wlodzimier J. Charatonik , Janusz R. Prajs, Janusz J. Charatonik
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 4, 2004, págs. 1069-1088
• Idioma: inglés
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• Resumen

  • Let X be an absolute retract for the class of hereditarily unicoherent continua that contains no simple triod. In the 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.