Resumen de Mutual aposyndesis of "n"-fold hyperspaces

Hiroshi Hosokawa

• 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.