Is the set of all rational numbers is complete with respect to discrete metric? Thanks in advance.
completeness of rational numbers under discrete metric.
0
$\begingroup$
real-analysis
metric-spaces
complete-spaces
1 Answers
3
Hint:
What is a Cauchy sequence for the discrete metric?
-
1sequence with constant tail. – 2017-01-12
-
0So it trivially converges to its tail. – 2017-01-12