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5 votes

Intrinsic topology on the Zariski spectrum

New answer, following up on Zhen Lin's comment for the "good" definition of prime filter. Sorry for the confusion! A prime filter in a ring $A$ is a multiplicatively closed subset $S$ of $A$ (containi …
Peter Scholze's user avatar
13 votes

Intrinsic topology on the Zariski spectrum

Let me give the condensed perspective: Regarding $A$ as a discrete condensed ring, I think the structure of the "internal spectrum" is codified by the functor that takes any extremally disconnected pr …
Peter Scholze's user avatar