Which of the following is true for a metric space?
28804
No. of possible dense subsets of a metric space
83163
If $X$ is a connected metric space, then a locally constant function $f: X \to $ M, $M $ a metric space, is constant
35573
A closed ball in a metric space is a closed set
27517
Isometry in compact metric spaces
98553
Infinite metric space has open set $U$ which is infinite and its complement is infinite
49563
Cauchy nets in a metric space
70106
diameter on a compact metric space
11114
Is a closed subset of a compact set (which is a subset of a metric space $M$) compact?
144400
Are compact subsets of metric spaces closed and bounded?
124688
Question about a metric on $\mathbb{R}^2$
96074
A net $\varphi : [0, \omega_1) \to M$ on a metric space $M$ converges $\iff \varphi$ is eventually constant
121135
Why don't we use closed covers to define compactness of metric space?
128598
How to prove this is a metric?
36566
Equivalence classes and metric spaces
84791
Is every connected metric space with at least two points uncountable?
49721
Prove the empty set is closed for a metric space (X,d).
52014
Showing $(C[0,1], d_1)$ is not a complete metric space