Cells in hyperspaces

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Abstract

Let C (X) denote the hyperspace of subcontinua of a continuum X. For A ∈ C (X), define the hyperspace C (A, X) = {B ∈ C (X) : A ⊂ B}. Let k ∈ N, k ≥ 2. We prove that A is contained in the core of a k-od if and only if C (A, X) contains a k-cell. © 2006 Elsevier B.V. All rights reserved.

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Pellicer-Covarrubias, P. (2007). Cells in hyperspaces. Topology and Its Applications, 154(5), 1002–1007. https://doi.org/10.1016/j.topol.2004.12.011

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