Note : X + Y = { k in R^n : k = x + y for x in X and y in Y}
Thanks a ton!
Let {$\displaystyle p_n$} be a dense subset of X (for example a set of points with rational co-ordinates) and {$\displaystyle q_n$} be a dense subset of Y
Then I claim that:
$\displaystyle X + Y = \bigcup_{i=1}^\infty(Y+p_i)\cup(X+q_i) $
Last edited by southprkfan1; Apr 19th 2010 at 06:43 AM.