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arXiv 0909.0604math.COmath.AT
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单形与割集乘积的KKM型定理及直线测度

KKM-type theorems for products of simplices and cutting sets and measures by straight lines

R. N. Karasev

备注：
This paper was not accepted for publication in a journal. The referee considered the main topological lemma known. Though some corollaries may be of value, so this paper is posted to arxiv.org
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摘要：

本文给出了单形乘积的Knaster-Kuratowski-Mazurkiewicz定理的一个形式。给出了平面上的测度划分和平面上的集族的线切割的一些推论。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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