研究了一类由超平面和球面所构成的特殊的混杂构形,讨论了混杂构形的相交集的交半格以及混杂构形与原超平面构形的Mobius函数之间的关系,接着推广到多于一个球面的较为复杂的混杂构形,最后给出了混杂构形的特征多项式和房的计算公式.
The lattice properties of a mixed arrangement A consisting of hyperplanes and spheres in Rl have been postulated and proved. The Mobius function of the mixed arrangement μA was subsequently derived. A class of mixed arrangements with more than one sphere was studied and, finally, the characteristic polynomials and the formulae for the number of chambers were obtained.