Can we map a complete metric space to $\mathbb{Q}$?
109638
Show that a complete metric space without isolated points is uncountable
135315
Proving whether a function on the set of real sequences is a metric
144353
A closed ball in a metric space is closed
20164
Is there always an equivalent metric which is not complete?
128894
About compactness and completeness of set $X = \mathbb{R}$ with the metric $d(x, y) = \frac{|x-y|}{1+|x-y|}$
88185
Proof that a subspace $A$ of a complete metric space $X$ is complete iff $A$ is closed
28804
No. of possible dense subsets of a metric space
69777
Show that, for every metric $d$, the metrics $d/(1+d)$ and $\min\{1,d\}$ are equivalent
49721
Prove the empty set is closed for a metric space (X,d).
99816
Existence of Topologically Transitive Maps on nice Metric Spaces
19754
$\mathbb{R}$ \ $\mathbb{Q}$ and $\mathbb{R}^2\setminus\mathbb{Q}^2$ disconnected?
128598
How to prove this is a metric?
121135
Why don't we use closed covers to define compactness of metric space?
107701
Show that a connected metric space is $\epsilon$-chainable for $\epsilon>0$
41035
Mapping that proves $\mathbb{Z} \subset \mathbb{Q}$
107321
How to show convexity of a ball in metric space?
35652
Every compact metric space is complete