【摘要】 证明了对于平面上由两两不交的单位正方形的平移形成的集族,其Helly数等于5;对于R3中由1-分离的单位立方体的平移形成的集族,其Helly数大于等于6,并将此结果推广至d-维欧氏空间.更多还原

【Abstract】 In the present paper,proved that for the family of pairwise disjoint translates of a unit square in the plane,the Helly number is equal to 5;For the family of 1-separated translates of a unit cube in R3,the Helly number is not less than 6,and generalize this result to Rd.更多还原