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not sober), and the reasons for mentioning this property must be given. Also, as "sober" is a purely topological property, it is clearly invariant under homeomorphisms. So the use of "spectral space" (without any link) instead of "spectrum of a ring" (the subject of the section) is pedantry, as it serves only to make the article more difficult to understand to non-experts.
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This article is not for specialists of algebraic geometry or topology. It is for people desiring learning on
Zariski topology. So, if the sober property is mentioned, its definition must be recalled, the Zariski topologies that are sober must be clearly identified (a classical algebraic variety is
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I edited the article to mention that the
Zariski topology was sober. The edit got reverted because "spectral space is not defined", when the section was literally about the spectra of a ring. The sober property is key to how the Zariski topology is typically used, because it is the strongest
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separation property that it satisfies, and it is closely related to generic points which are mentioned a lot in the article.
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Knowledge. If you would like to participate, please visit the project page, where you can join
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Fundamental in algebraic geometry. Please replace this comment by suggestions for improvements!
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21:37, 20 May 2007 (UTC) The article is well explained, possibly B+, but needs references.
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Last edited at 11:37, 26 May 2007 (UTC). Substituted at 02:42, 5 May 2016 (UTC)
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It would be helpful to have an explanation of what a closed point is.
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