Consider the set of integers with a metric defined by $d(m,n)=|m-n|$.Is this set complete with respect to this metric?
If it is a metric, then I am stuck here. How can a Cauchy sequence have a limit in this set?
2026-03-27 01:46:42.1774576002
Is the set of all integers with metric $d(m,n)=|m-n|$ a complete space?
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Hint: What does $|m-n|<1$ imply for integers $m,n$?
Solution: (move mouse over to reveal)