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On the contractibility and connectedness of an efficient point set. - MaRDI portal

On the contractibility and connectedness of an efficient point set. (Q5957162)

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scientific article; zbMATH DE number 1716543
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On the contractibility and connectedness of an efficient point set.
scientific article; zbMATH DE number 1716543

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    On the contractibility and connectedness of an efficient point set. (English)
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    31 July 2002
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    The paper deals with a topological structure of efficient and proper efficient point sets in vector optimisation. Among topological properties of these sets, contractibility and connectedness are widely discussed. A new method which makes possible to establish the contractibility result of an efficient point set and the path connectedness result of a Henig efficient point set with the ordering cone having no bounded base is developed. The paper is addressed to researchers working in the area of vector optimization.
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    efficient point sets
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    vector optimization
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