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Cells in hyperspaces
Authors:Patricia Pellicer-Covarrubias
Institution:Departamento de Matematicas, Facultad de Ciencias, Circuito exterior s/n, Ciudad Universitaria, CP 04510, Mexico DF, Mexico
Abstract:Let C(X) denote the hyperspace of subcontinua of a continuum X. For AC(X), define the hyperspace View the MathML source. Let kN, 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.
Keywords:54B20  54F15
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