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Why are two curves over a field k homeomorphic?

I have been able to prove that any variety of positive dimension over a field k has the same cardinality as k.

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    $\begingroup$ Can you give a simple description of the Zariski topology of a curve? $\endgroup$
    – user13113
    Sep 23, 2011 at 1:40
  • $\begingroup$ Rather than create new tags "algebraic" and "geometry" I fixed the tagging $\endgroup$
    – David White
    Sep 23, 2011 at 2:51
  • $\begingroup$ I reverted the "faux-delete" that the OP attempted $\endgroup$
    – Yemon Choi
    Mar 18, 2013 at 8:21

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Alright I'll just answer so that I can get enough "reputation" to be able to comment and ask for a question to be closed because it belongs in other sites (see the faq).

A bijection between two topological spaces $f:X \rightarrow Y$ where open sets are complements of finite sets is a homeomorphism.

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    $\begingroup$ Hi. Welcome to MO. $\endgroup$
    – Felipe Voloch
    Sep 23, 2011 at 2:24

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