simply connected space

This concept of being simply connected or not, and studying which loops bound surfaces or not can be used to classify shapes of things inside space.

单连通和非单连通的概念，研究哪些环路能界定曲面，可以用来对空间内部物体的形状进行分类。

So, if we really wanted to apply Stokes theorem, because I've been telling you that space is simply connected, and I will always be able to apply Stokes theorem to any curve, what would I do?

因为我已经告诉过你们空间是单连通的，所以，如果我们真的想要运用Stokes定理，那么我总是可以把它运用于任何曲线，我应该做什么呢？

Expand the definition of Hp ( p ≥ 1) space in unit circle to the simply connected region using Riemann mapping.

利用Riemann映射性质将单位圆内Hp（p≥1）空间的定义推广到了在一般单连通区域上定义Hp（p≥1）空间。