---
tag: 0GBG8B49AA
kind: concept
name: Product topology
aliases: [tychonoff-topology]
msc: [54B10]
sources:
  - url: https://en.wikipedia.org/wiki/Product_topology
    locator: lead section
same_as:
  wikidata: Q1070472
  wikipedia: Product topology
---

## Summary

The product topology is the natural topology on a Cartesian product of topological spaces.
It is the coarsest topology for which all projections onto the factors are continuous.