Thread: interior of set closure differnet from interior of the same set?

Can anyone give an example showing that the interior of S is not the same as the interior of the closure of S?

Thanks

Originally Posted by wxyj

Can anyone give an example showing that the interior of S is not the same as the interior of the closure of S?

Thanks

Let S be the rationals. Then Int(S) is empty, whereas Int(Cl(S)) = R.

Originally Posted by rn443

Let S be the rationals. Then Int(S) is empty, whereas Int(Cl(S)) = R.

neat example..