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Sep 2, 2012 at 16:07 comment added grp Chevalley's theorem on preservation of constructibility under images pervades the beginning of the theory of algebraic groups. The constructible subsets of a noetherian topological space are the finite unions of locally closed sets. Check Wikipedia under "constructible set" (though the example there is weak, since it is even locally closed; a better example is the subset of the plane given by the union of the origin and the complement of the $x$-axis). By the way, the end of your posted question made me think that you were well aware that algebraic groups aren't topological groups.
Sep 2, 2012 at 15:30 comment added Abhishek Parab What do you mean by `constructible'?
Sep 2, 2012 at 9:51 history edited grp CC BY-SA 3.0
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Sep 2, 2012 at 5:14 history answered grp CC BY-SA 3.0