实线性空间中点组的分划

THE SPLITING OF POINT SETS IN REAL VECTOR SPACE

对Ｒｎ的偶点集，平分它的超平面全体的模空间约化到ＲＰｎ上紧化再作形变收缩，包含了一个ＲＰｎ－１．由Ｐｏｉｎｃａｒｅ对偶及拓扑相交性质可知对Ｒｎ中ｎ组处于一般位置的偶点集。

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.