Let be an open set if there exists an r > 0 such that B(x,r) . B(x.r) meaning a ball centered on x with radius r.

1) Let a . Prove that for all B(a, ) is open

2) Show that if are open in then also open

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- October 28th 2008, 01:38 PMCatoCan anyone help me with this prob?
Let be an open set if there exists an r > 0 such that B(x,r) . B(x.r) meaning a ball centered on x with radius r.

1) Let a . Prove that for all B(a, ) is open

2) Show that if are open in then also open - October 28th 2008, 04:36 PMCato
Anyone?