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edited Apr 17, 2019 at 17:13

András Bátkai

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Irreducible of finite Krull dimension implies quasi-compact?

Let $X$ be the underlying space of a scheme.

If $X$ is irreducible of finite Krull dimension, is it necessarily quasi-compact?
Is it necessarily Noetherian?
What if we assume not only that Krull dimension is finite but also that it is 1?

at.algebraic-topology gn.general-topology schemes

asked Apr 17, 2019 at 16:45

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