Recent content by Riam

I said choose ε > 0, , for n = 1, i = 1, let a be the center of the ball and raduis r. if | x- a| < r with Ʃ r < ε such that X \subset B_{1}. and keep trying for n =2 and generalise it? this is my guess?

Homework Statement Please I need your help in this question. I don't know how to answer it. The question: Show that X ⊂ ℜn has measure 0 if and only if ε > 0 there exists an infinite sequence of balls B_i ={ x ∈ R^n| |x-a_i | < r_i} with ∑ r^{n}_{i} < ε such that X ⊂ ∪ ^{\infty}_{i...

Please I need your help in this question. I don't know how to answer it. The question: Show that X \subset \Re^n has measure 0 if and only if ε > 0 there exists an infinite sequence of balls B_i ={ x \in R^n| |x-a_i | < r_i} with \sum < ε such that X \subset \cup_{i=1} ^\infty B_i