---
tag: 0YVKNB7V5F
kind: concept
name: Metric topology
aliases: [topology-of-a-metric-space]
msc: ["54E35"]
sources:
  - url: https://en.wikipedia.org/wiki/Metric_space
    locator: The topology of a metric space
---

## Summary

In the metric topology of a metric space, the open sets are the sets that contain a small ball about each of their points.
It turns each metric space into a topological space.