映射到自身的映射的紧化
Compactification of a map which is mapped to itself
摘要：
证明了若$T: X \to X$是集合$X$的自映射，使得$\bigcap \{T^{n}X: n\in N}\}$是单点集，则集合$X$可被赋予紧Hausdorff拓扑，使得$T$是连续的.
英文摘要：
We prove that if $T: X \to X$ is a selfmap of a set $X$ such that $\bigcap \{T^{n}X: n\in N}\}$ is a one-point set, then the set $X$ can be endowed with a compact Hausdorff topology so that $T$ is continuous.
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。
