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实线性空间中点组的分划
引用本文:李福波.实线性空间中点组的分划[J].四川大学学报(自然科学版),1999,36(4):678-685.
作者姓名:李福波
作者单位:四川大学数学学院,四川成都,610064
摘    要:对R^n的偶点集,枰分它的超平面全体的模空间约化到RP^n上紧化再作形变收缩,包含了一个RP^n-1,由Poincare对偶及拓朴相交性质可知对R^n中n组处于一般位置的偶点集,有一个超平面将之同时平分。

关 键 词:模空间  实射影空间  相交数

THE SPLITING OF POINT SETS IN REAL VECTOR SPACE
LI Fu-bo.THE SPLITING OF POINT SETS IN REAL VECTOR SPACE[J].Journal of Sichuan University (Natural Science Edition),1999,36(4):678-685.
Authors:LI Fu-bo
Abstract:For a finite set in R n with even cardinal,the supersurfaces split it into two equally part formes a moduli space.The moduli space can be reduced into RP n ,its compactification contract to a sub complex,which can be viewed as RP n-1 in RP n .Now,Poincare dual and the intersection property applied,the author finally get the conclusion,which states there is a supersurface split the generally sitted n ple even point set in R n into two equally part simultaneousy.
Keywords:moduli  spaces  real  projective  space  intersection  number
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