On consider where and Is it a metric space?

I think is not, because of the triangle inequality.

What do you guys think?

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- April 3rd 2011, 03:31 PMConnectedIs it a metric space?
On consider where and Is it a metric space?

I think is not, because of the triangle inequality.

What do you guys think? - April 3rd 2011, 05:18 PMDrexel28
- April 3rd 2011, 05:22 PMConnected
Haven't found one yet.

But are you implying that it doesn't satisfy the triangle inequality? - April 3rd 2011, 05:23 PMDrexel28
- April 3rd 2011, 05:25 PMConnected
Okay, thanks!

- April 3rd 2011, 06:44 PMtheodds
Indeed, the triangle inequality fails. Keep looking for a counterexample; it isn't particularly tricky in this case.