PDA

View Full Version : measures


Riam
Dec3-11, 01:28 PM
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

micromass
Dec3-11, 01:37 PM
Such a question belongs in the homework forum: http://www.physicsforums.com/forumdisplay.php?f=152

Also be sure to post an attempt at the solution.