# Math Help - Proving Metric Spaces

1. ## Proving Metric Spaces

Hi! I'm struggling with a question from a past paper:

Let C denote the set of complex numbers and define a mapping d:C x C > R by the rule,
d(x,y) = 0, x=y
= |x|+|y| x doesn't = y.
I need to prove that (C,d) is a metric space....help please!!

Abi

2. Originally Posted by abigail88
Hi! I'm struggling with a question from a past paper:

Let C denote the set of complex numbers and define a mapping d:C x C > R by the rule,
d(x,y) = 0, x=y
= |x|+|y| x doesn't = y.
I need to prove that (C,d) is a metric space....help please!!

Abi

This is very easy stuff for anyone knowing the very basic definitions: what have you done, what have you attempted? Where are you stuck?
At the very least you must know what has to be proved...

Tonio

3. It's fine, we've solved it already