Dendrites with unique hyperspace

• Autores: David Herrera Carrasco
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 3, 2007, págs. 795-805
• Idioma: inglés
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• Resumen

  • For a metric continuum X let C(X) denote the hyperspace of subcontinua of X. The continuum X is said to have unique hyperspace of subcontinua provided that if Y is a continuum and C(X) is homeomorphic to C(Y), then X is homeomorphic to Y. We show in this paper the following: A dendrite which is not an arc has unique hyperspace of subcontinua if its set of end points is closed.