Thursday, 28 August 2014

real analysis - How to prove that the ball is convex.

I want to conclude that Br(x0) is convex from the fact that B1(0) is convex. So I was trying to use the answer provided here Proving that closed (and open) balls are convex



But the thing is that I don't know how to conclude, I think that they may be need that B1(0) is convex to get the result. Can someone help me to get this result please?



Thanks a lot in advance.

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