Cells in hyperspaces

  • Pellicer-Covarrubias P
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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.

Author-supplied keywords

  • Continuum
  • Hyperspace
  • n-cell
  • n-od

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