Well, a Riemann surface is a certain kind of Hausdorff space. You know what a Hausdorff space is, don’t you? Its also compact, ok. I guess it is also a manifold. Surely you know what a manifold is. Now let me tell you one non-trivial theorem, the Riemann–Roch Theorem.

— Gian-Carlo Rota’s recollection of Lefschetz lecturing in the 1940’s, quoted in A Beautiful Mind by Sylvia Nasar.

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