基于康托定理对函数一致连续性的进一步探讨

Further Exploration on Cantor Theorem to the Function Consistent Continuity

本文着重讨论函数连续性与一致连续性，即基于康托（Cantor）定理对连续函数作进一步的讨论。给出一致连续性的充要条件，这有助于学生能更简便地理解和判定函数的一致连续性。

This article focuses on the function continuity and uniform continuity, continuous functions to be discussed fur- ther, given the necessary and sufficient conditions of the uniform continuity Cantor （Cantor） theorem, which helps students more easily understand and determine the function consistent continuity,