rho-函数的一个组合性质
A combinatorial property of rho-functions
摘要：
证明了如果$\mathcal{T}$是$ω_{1}$上的任意Hausdorff拓扑，则与$\mathcal{T}$下的有理数同胚的$ω_{1}$的任意子集都可以精化为$\barρ$在其上移位增的有理数的同胚副本.
英文摘要：
We show that if $\mathcal{T}$ is any Hausdorff topology on $ω_{1}$, then any subset of $ω_{1}$ which is homeomorphic to the rationals under $\mathcal{T}$ can be refined to a homeomorphic copy of the rationals on which $\barρ$ is shift-increasing.
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。
