Is a metric space complete?
128894
About compactness and completeness of set $X = \mathbb{R}$ with the metric $d(x, y) = \frac{|x-y|}{1+|x-y|}$
36566
Equivalence classes and metric spaces
70106
diameter on a compact metric space
62479
A isometric map in metric space is surjective?
72950
Book recommendation for Metric Spaces
16060
Showing this metric space is complete
118496
Why do we essentially need complete measure space?
7402
Showing a compact metric space has a countable dense subset
84791
Is every connected metric space with at least two points uncountable?
140124
The distance function on a metric space
33859
How to show that a disjoint sum of metric spaces is metrizable?
49721
Prove the empty set is closed for a metric space (X,d).
90628
The metric spaces are Tychonoff spaces
49374
Closure of a subset in a metric space
11114
Is a closed subset of a compact set (which is a subset of a metric space $M$) compact?
17842
Is every set in a separable metric space the union of a perfect set and a set that is at most countable?
67050
Every separable metric space has a countable base