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

Printable View

- Oct 28th 2008, 02:38 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 - Oct 28th 2008, 05:36 PMCato
Anyone?