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 September 14th, 2010, 05:26 PM #1 Senior Member   Joined: Nov 2009 Posts: 169 Thanks: 0 one prove question Let A and C be subset of $R^n$ with boundaries B(A), B(C) respectively. Prove or disprove: (1) B(AUC) = B(A)UB(C) (2) B(A$\cap$C) = B(A)$\cap$B(C)
 September 15th, 2010, 03:35 AM #2 Senior Member   Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 Re: one prove question Part (b) is really very easy - just pick any two intersecting, unequal sets and see what happens. For part (a), you can find a counterexample by picking two strict subsets of $\mathbb{R}^n$ whose union is the whole of $\mathbb{R}^n.$

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