Hi guys,

I have to show that the Zariski topology on an affine variety is compact. The hint is that we may use the fact that $\displaystyle X$ is compact iff for every collection $\displaystyle \{V_i\}_{i\in A}$ of closed sets such that $\displaystyle \cap_{i\in A} V_i = \emptyset$ there exist a finite set $\displaystyle B \subseteq A$ such that $\displaystyle \cap_{i\in B}V_i = \emptyset$.

Thanks a lot in advance,

HTale.