[视频作者] 小火星酱
[视频时长] 29:28
[视频类型] 野生技能协会
Some theorems of continuous functions: a function is continuous if and only if f^-1(V) is open in X for every open V in Y; Weierstrass Theorem; given a real-valued continuous function on a compact set, f(X) is also compact on Y.
![[图]【Mathematical Analysis】Theorems of continuous functions](https://i1.hdslb.com/bfs/archive/25c53e193bedaa0025a020a3820c93cf071bfa4e.jpg)