关于自然数分拆的一些性质

本文研究了自然数分拆的内在结构,主要讨论了序((ω)，≤)和((ω)，)的可分裂性,以及格((ω)，≤)和((ω)，)的可分配性,最后证明一个结论.

Some properties of the partition of ω

In this paper, the intrinsic structure of the partition of ω, the separativity of the orders ((ω),≤) and ((ω);(≦)) are investigated, and the distributivity of the lattices ((ω),≤) and ((ω);(≦)) are discussed. In the end, we prove a result related to ac≥as when F is a maco with at least two infinite pieces.