# Category:Metrizable Topologies

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This category contains results about Metrizable Topologies.

Let $\struct {S, d}$ be a metric space.

Let $\struct {S, \tau}$ be the topological space induced by $d$.

Then for any topological space which is homeomorphic to such a $\struct {S, \tau}$, it and its topology are defined as **metrizable**.

## Subcategories

This category has only the following subcategory.

## Pages in category "Metrizable Topologies"

The following 17 pages are in this category, out of 17 total.