I need an example of sequesnce of nested closed balls $B_n$(a,r) in complete metric space which has not any common point. The simplest example is desirable because I supposed to show completness as well.
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1$(0,1/n)$ (in $[0,1]$). – David Mitra Nov 26 '16 at 13:57
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sorry, I forgot to say that balls supposed to be closed. – Invincible Nov 26 '16 at 14:09
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1See this. – David Mitra Nov 26 '16 at 14:12