Are open subsets of $\mathbb{P^1}$ connected? I believe yes because they are complement of finite sets. Is this right?
2026-03-26 21:35:11.1774560911
Open Zariski subsets of $\mathbb{P}^1$
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The projective line is irreducible. An open subset of an irreducible space is irreducible, which is a much stronger property than connectedness.