TUCKER-KY FAN COLORINGS

被引：0
|
作者：
SARKARIA, KS
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1990年 / 110卷 / 04期
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of a continuous Z2-map from a free m-dimensional Z2-simplicial complex E to the (m - 1)-dimensional antipodal sphere S(m)-1 is characterized by means of an enumerative combinatorial criterion involving a coloring of the vertices of E. The Borsuk-Ulam theorem, 1933, and the combinatorial lemmas of Tucker, 1945, and Ky Fan, 1952, are easy consequences of this result for the case \E\ = S(m).
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页码：1075 / 1081
页数：7
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