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Original scientific paper

https://doi.org/10.3336/gm.47.1.17

Concerning n-mutual aposyndesis in hyperspaces

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


Full text: english pdf 101 Kb

page 187-192

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Abstract

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.

Keywords

Continuum, hyperspace, n-mutual aposyndesis

Hrčak ID:

82583

URI

https://hrcak.srce.hr/82583

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