Re: balls and metric

In article <4bhdnqF11n1qsU1@xxxxxxxxxxxxxx>, Josˆ©
Carlos Santos
<jcsantos@xxxxxxxx> wrote:

On 29-04-2006 13:28, eugene wrote:

Give an example of a metric space in which a ball
of
radius 4 is contained in a ball of raduis 3.

Any metric space with a single point.

Best regards,

Jose Carlos Santos

Now do one strictly contained in...

Sorry for a stupid question, but i don't quite understand how can it be: two balls with the same center, the one of radius 4 is stricly contained in another one of rafuis 3.
If x is not in B(0,4)( B(0,3)={x from X, d(x,0)<=3} ), and in B(0,3) then 4 < d(x,0) <= 3 - how can it be?

Thanks
.

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