A counter-example for continues functions on Metric spaces
62817
Functions which are Continuous, but not Bicontinuous
18040
Show that a compact metric space is bounded
78108
Do these define metrics on $\mathbb{R}$?
142414
Generalization of metric spaces?
90628
The metric spaces are Tychonoff spaces
43626
Open Mapping Theorem: counterexample
84791
Is every connected metric space with at least two points uncountable?
124179
Proof that every metric space is normal
80276
Metric Space & Cauchy Sequence
52798
Finding counterexamples: bijective continuous functions that are not homeomorphisms
99816
Existence of Topologically Transitive Maps on nice Metric Spaces
82333
let $(X,d)$ be a metric space. How I can show that any finite subset of $X$ is closed.
54685
Defining metrics as a function to something other than the reals.
16892
Reference request: product Borel $\sigma$-algebra of non-separable metric spaces
121218
Is this function a metric?
123061
$X$ metric separable then $C(X)$ separable
95831
Compactness and sequential compactness in metric spaces