本文讨论了按序列分布混沌与拓扑混合的关系,并证明了:若X为至少两点的可分局部紧致度量空间,连续映射f:X→X是拓扑混合的,则对于任一正整数递增序列{mi},存在X的c-稠密Fσ子集D是f按{mi}的某子序列的分布混沌集.

In this paper, we discuss the relation between the distribution chaos and the topologically mixing, show that if a continuous map f : X→X is topologically mixing, where X is a separable locally compact metric space containing at least two points, then for any increasing sequence {mi} of positive integers there exists an c-dense Fσ subset D of X is the set of distribution chaos of f in some sub-sequence of {mi}.