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