---
tag: 0AYV6VGKF5
kind: concept
name: Product metric
msc: ["54E35"]
sources:
  - url: https://en.wikipedia.org/wiki/Product_metric
    locator: lead section
same_as:
  wikidata: Q7247777
  wikipedia: Product metric
---

## Summary

A product metric is a metric on the Cartesian product of finitely many metric spaces, made from the metrics of the factors.
Common choices take the maximum, the sum, or the Euclidean combination of the distances in the factors.
All these choices give the product topology.