二维欧氏空间中混杂构形的Mbius函数  

Mbius function of the mixed arrangement in two-dimensional Euclidean space

作　　者：江娟[1] 裴东河[1] 陈志明[1] 

机构地区：[1]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2012年第2期1-4,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871035)

摘　　要：研究了二维欧氏空间中一类新的混杂构形,即由直线构形和若干个圆组成的混杂构形,这是以往所研究的混杂构形的推广形式.并且利用Hasse图得到了此类混杂构形的相交偏序集的Mbius函数值公式.作为公式的应用,给出了两个具体的例子.Study on a new kind of mixed arrangements in two-dimensional Euclidean space, that is, the mixed arrangement which is composed of a line arrangement and several circles. These mixed arrangements are the generalizations of the former ones. By making use of Hasse diagram,the Mobius function value formula of the intersection poser of a mixed arrangement is obtained. As an application of this formula,two concrete examples are given.

关 键 词：超平面构形 直线构形 混杂构形 Mbius函数 

分 类 号：O157.3[理学—数学]