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.
closed as too localized by algori, Gjergji Zaimi, Dan Petersen, J.C. Ottem, Leonid Positselski Sep 23 '11 at 9:29
This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question.
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.