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Let $f:\mathbb{C}^{n+1}\to\mathbb{C}$ be a map with $0\in\mathbb{C}$ a critical value. Let $X_0=f^{-1}(0)$ and $x\in X_0$, then the map $F:\frac{f}{|f|}:S_{\varepsilon,x}\setminus(S_{\varepsilon,x}\cap X_0)\to S^1$, where $S_{\varepsilon,x}$ is a sphere, is the Milnor fibration. The Milnor fiber $F_{x}$ at $x\in\mathbb{C}^{n+1}$ is then defined as the fiber of $F$ at $x$.
Here's the question: $x$ isn't even in the domain of the Milnor fibration, how can one find its fiber?
The note I read () has a rather confusing figure:
