Showing two metrics generate the same topology
69777
Show that, for every metric $d$, the metrics $d/(1+d)$ and $\min\{1,d\}$ are equivalent
108864
Showing that two topologies give rise to the same topology
66548
proving topological equivalence
27517
Isometry in compact metric spaces
132641
Proving that Euclidean Space is a complete metric space
65840
Norm induced by metric
157753
Show that any set in a metric space can be written as the intersection of open sets
150987
Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent
52894
How to test if these two samples are from the same distribution?
27998
Prove existence of disjoint open sets containing disjoint closed sets in a topology induced by a metric.
124179
Proof that every metric space is normal
146967
Understanding equivalent metric spaces
133938
Connectedness of the Hausdorff distance.
23845
How to prove the continuity of the metric function?
70106
diameter on a compact metric space
151984
Proving the existence of a metric space
26299
Minkowski Metric Signature