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Original scientific paper

Concerning n-mutual aposyndesis in hyperspaces

Alejandro Illanes ; Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Cd. Universitaria, México, 04510, D.F.

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page 187-192

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Given a metric continuum X, let 2X denote the hyperspace of nonempty closed subsets of X. We prove that 2X is n-mutually aposyndetic for each n≥ 1. That is, given n distinct elements of 2X, there are n disjoint subcontinua of 2X, each containing one of the elements in its interior.


Continuum, hyperspace, n-mutual aposyndesis

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