Local compactness of the hyperspace CLC(X)

• Autores: Robbie A. Beane
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 3, 2011, págs. 977-994
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We provide a necessary condition and a sufficient condition for local compactness of CLC(X), the hyperspace of closed connected subsets of a metric space X, as well as a sufficient condition for metrizability of CLC(X). To simplify the statement of these conditions we introduce the terms buffer and totally buffered . Some basic theory relating to these new concepts is developed.