Or, as we will see soon, in a simply connected region.
稍后我们会知道，在一个单连通区域上也可以。
OK, so where do we use the assumption of being defined in a simply connected region?
那么我们是在哪里利用了，“定义在单连通区域”的假设呢？
And here, to be completely truthful, I have to say defined in a simply connected region. Otherwise, we might have the same kind of strange things happening as before.
这里，为了使得完全成立，不得不假设，这定义在一个单连通区域，否则就有可能得到，和先前一样的奇怪事情。
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