The Knaster-Kuratowski-Mazurkiewicz theorem and abstract convexities (Q2473907)
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| Language | Label | Description | Also known as |
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| English | The Knaster-Kuratowski-Mazurkiewicz theorem and abstract convexities |
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The Knaster-Kuratowski-Mazurkiewicz theorem and abstract convexities (English)
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5 March 2008
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The generalizations of the KKM theorem depend on the idea of the convex hull of a finite set. In this paper, the authors review some of these generalizations in connection with spaces with abstract convexities. The relations between some notions of convexity are investigated.
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KKM theorem
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H-space
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G-space
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M-space
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fixed point
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maximal element
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