---
tag: 09V3NASXND
kind: concept
name: Equivalent metrics
aliases: [equivalence-of-metrics]
msc: ["54E35"]
sources:
  - url: https://en.wikipedia.org/wiki/Equivalence_of_metrics
    locator: lead section
same_as:
  wikidata: Q5384710
  wikipedia: Equivalence of metrics
---

## Summary

Two metrics on the same set are equivalent when they give the same open sets.
A stronger form asks that each metric is at most a constant times the other.