Selections for paraconvex-valued mappings on non-paracompact domains |
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| Authors: | Narcisse Roland Loufouma Makala |
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| Institution: | School of Mathematical Sciences, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South Africa |
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| Abstract: | We prove that Michael?s paraconvex-valued selection theorem for paracompact spaces remains true for C′(E)-valued mappings defined on collectionwise normal spaces. Some possible generalisations are also given. |
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| Keywords: | primary 54C60 54C65 secondary 54D15 |
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