How is a metric space a topological space?
60236
What is the difference between topological and metric spaces?
15480
Open set in a metric space is union of closed sets
95897
Which sets occur as boundaries of other sets in topological spaces?
94672
Why is the triangle inequality property important for metric spaces?
152679
Homogeneous topological spaces
85242
Deciding whether two metrics are topologically equivalent in the space $C^1([0,1])$
26547
Real numbers equipped with the metric $ d (x,y) = | \arctan(x) - \arctan(y)| $ is an incomplete metric space
132641
Proving that Euclidean Space is a complete metric space
118508
Is the axiom of choice needed in proving that metric spaces in which every infinite subset has a limit point are compact?
83159
Defining a metric space
137881
A not complete metric space?
72950
Book recommendation for Metric Spaces
151984
Proving the existence of a metric space
121135
Why don't we use closed covers to define compactness of metric space?
139827
On which topological spaces, can we give a group structure to make it a topological group?
6415
Distance function is continuous in topology induced by the metric
53812
Metric is continuous function