Dear Colleagues,

Could you please help me in solving the following problem:

show that the set of all real number constitutes an incomplete metric space if we choose

$\displaystyle d(x,y)=|arc tan(x) - arc tan(y)|$

Best Regards

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- Apr 7th 2011, 04:20 AMraedIncomplete Metric Space
Dear Colleagues,

Could you please help me in solving the following problem:

show that the set of all real number constitutes an incomplete metric space if we choose

$\displaystyle d(x,y)=|arc tan(x) - arc tan(y)|$

Best Regards - Apr 7th 2011, 05:27 AMOpalg
- Apr 7th 2011, 05:50 AMraed
Thank you very much for your reply. But is this Cauchy.

Regards,

Raed. - Apr 7th 2011, 05:54 AMOpalg
- Apr 7th 2011, 05:55 AMPlato