一个数学分析定理在点集拓扑中的推广

Extension of a Mathematical Analysis Theorem to Point Set Topology

实数空间到实数空间的两个连续映射,如果在有理数集上相等,则恒等.上述定理可推广到适当的拓扑空间之间的连续映射.

For two real functions, if they are identical on the rational numbers, then they are equal. This can be extended to the continuous map between general topological spaces.