包含无穷等差（几何）级数的集合的划分
Partition of a Set Which Contains an Infinite Arithmetic (Respectively Geometric) Progression
摘要：
我们证明，任何分区的一组包含一个无限的算术（分别为几何）的进展到两个不相交的子集，这些子集中至少有一个包含一个无限数量的三元组，使每个三元组是一个算术（分别为几何）的进展。
英文摘要：
We prove that for any partition of a set which contains an infinite arithmetic (respectively geometric) progression into two disjoint subsets, at least one of these subsets contains an infinite number of triplets such that each triplet is an arithmetic (respectively geometric) progression.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
