---
tag: 0QBYFZV91P
kind: concept
name: Subspace metric
aliases: [induced-metric]
msc: ["54E35"]
sources:
  - url: https://en.wikipedia.org/wiki/Metric_space
    locator: Subspaces
---

## Summary

The subspace metric on a subset of a metric space is the restriction of the metric to pairs of points of the subset.
It makes each subset of a metric space a metric space.