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Mar 26, 2012 at 18:59 comment added Andrew Dudzik I think that Hochster uses the older language of preschemes. In modern terms, he proved that the underlying spaces of separated schemes are exactly the open subsets of spectral spaces (his "locally spectral and quasispectral" spaces) but that the underlying spaces of all schemes are more generally the spaces which are locally spectral.
Jul 31, 2010 at 15:26 history edited Pete L. Clark CC BY-SA 2.5
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Oct 27, 2009 at 12:31 history answered Pete L. Clark CC BY-SA 2.5