Taking $\lim$ out of metric $d$
41675
Metric is continuous, on the right track?
112329
Show that $d(z,a)=|\frac{z-a}{1-\overline{a}z}|$ is a metric on the unit disk
95783
Fixed points of contractions in metric spaces
112303
Distances between closed sets on metric spaces
6785
Equicontinuity on a compact metric space turns pointwise to uniform convergence
74607
Variation of the metric with respect to the metric
140124
The distance function on a metric space
140692
Existence of a complete metric on $(0,1)$
107701
Show that a connected metric space is $\epsilon$-chainable for $\epsilon>0$
142414
Generalization of metric spaces?
146967
Understanding equivalent metric spaces
27652
metric on the Euclidean Group
61358
Infinite halving of a distance
107321
How to show convexity of a ball in metric space?
45581
Is the distance function in a metric space (uniformly) continuous?
66550
Cardinality of separable metric spaces
9355
If $d(x,y)$ is a metric, then $\frac{d(x,y)}{1 + d(x,y)}$ is also a metric