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

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

2009-09-03

arxiv.org/abs/0909.0604v1

Mathematics

Combinatorics

This paper was not accepted for publication in a journal. The referee considered the main topological lemma known. Though some

Scientific paper

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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