---
tag: 0WS9P12FQR
kind: concept
name: Subspace topology
aliases: [induced-topology, relative-topology]
msc: [54B05]
sources:
  - url: https://en.wikipedia.org/wiki/Subspace_topology
    locator: lead section
same_as:
  wikidata: Q660730
  wikipedia: Subspace topology
---

## Summary

The subspace topology is the topology that a subset of a topological space gets from the whole space.
Its open sets are the intersections of the subset with the open sets of the whole space.