What is a "Zariski topology on $\mathbb R$"? I don't think I quite understand the definition of a "Zariski topology". Thank you.
Zariski topology over $\mathbb R$
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general-topology
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1Can you explain what exactly you don't understand in the definition of the Zariski topology in the case of $\mathbb R$? – 2011-10-10
1 Answers
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Taking $\mathbb{R}$ as the affine line over reals, the Zariski topology of $\mathbb{R}$ consits of all its subsets whose complement is either finite or all of $\mathbb{R}$ (i.e. the finite complement topology.)
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0@$H$enno Brandsma yes – 2011-10-11