Mutual aposyndesis of "n"-fold hyperspaces

• Autores: Hiroshi Hosokawa
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 35, Nº 1, 2009, págs. 131-137
• Idioma: inglés
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• Resumen

  • A continuum is a compact connected metric space. The n-fold hyperspace of a continuum X is the space of all nonempty closed subsets of X with at most n components. We show that if n>1, then for any continuum X, the n-fold hyperspace of X is mutually aposyndetic.