KKM-type theorems for products of simplices and cutting sets and measures by straight lines
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cuttinglinesplaneproductssetssimplicescorollariesfamilies
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In this paper a version of Knaster-Kuratowski-Mazurkiewicz theorem for products of simplices is formulated. Some corollaries for measure partition in the plane and cutting families of sets in the plane by lines are given.
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