Let $X\subseteq \mathbb{P}^n(\mathbf{C})$ be a quasi-projective variety.
Q: Is $X$ necessarily quasi-compact in the Zariski topology (if yes then how to prove it)?
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Sign up to join this communityLet $X\subseteq \mathbb{P}^n(\mathbf{C})$ be a quasi-projective variety.
Q: Is $X$ necessarily quasi-compact in the Zariski topology (if yes then how to prove it)?
Say, any subset of a Noetherian topological space is quasi-compact with respect to the induced topology.