Glasnik matematički, Vol. 47 No. 1, 2012.
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.
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
Publication date:
3.6.2012.
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