equivalent of metric spaces and their topology
132528
Are metrics that determine the same topology, equivalent?
70106
diameter on a compact metric space
150987
Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent
156606
Universal covering spaces of homotopy equivalent spaces are homotopy equivalent
98553
Infinite metric space has open set $U$ which is infinite and its complement is infinite
117877
Are homotopy equivalent path-connected spaces homotopy equivalent as pointed spaces?
133504
Suppose $X$ is a metric space and $S \subseteq X.$ Then, $S^o=\{x \in X~|~dist(x,S^c)>0\}$.
7402
Showing a compact metric space has a countable dense subset
137881
A not complete metric space?
28804
No. of possible dense subsets of a metric space
126944
Metric spaces problem
35573
A closed ball in a metric space is a closed set
133633
A question about path-connected and arcwise-connected spaces
99353
Topology on cartesian product and product topology.
92340
How many metrics are there on a set up to topological equivalence?
109638
Show that a complete metric space without isolated points is uncountable
90628
The metric spaces are Tychonoff spaces