And if so, why? I'm having some trouble with this. I know that the $D_{f}$ (set of primes not containing $f$) are the open sets and form a basis for the Zariski topology; but I do not know how to go about even constructing an open cover. Thanks.
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Freddie
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You do not construct an open cover. Rather, you must show that any given open cover has a finite subcover. – Zhen Lin Apr 07 '15 at 17:17
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Okay right. But what would a given open cover look like? Sorry I'm kind of a nooby in the topology area. – Freddie Apr 07 '15 at 17:24
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For $R=F[X]$ for $F$ a field the topology is just the finite complement topology, which clearly leads to a compact space. – Gregory Grant Apr 07 '15 at 17:36
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Dear @Mike : The question I duped this against was in the Related Questions to the right, which means it probably showed up as you were typing the question statement. Please use the search features before posting a question. Regards – rschwieb Apr 07 '15 at 17:38