Zero-dimensional Closed Set Aposyndesis and Hyperspaces

• Autores: Jorge M. Martínez-Montejano
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 32, Nº 4, 2006, págs. 1101-1105
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • A continuum is a compact metric space. It is said that a continuum X is zero-dimensional closed set aposyndetic provided that for each zero-dimensional closed subset A of X and for each p in X minus A, there exists a subcontinuum M of X such that p is in the interior of M and M does not intersect A. It is shown that if X is a continuum and n is a natural number, then both the hyperspace of nonempty closed subsets of X and the n-fold hyperspace of X are zero-dimensional closed set aposyndetic