---
tag: 0BSJSX7ME2
kind: concept
name: Dense set
msc: [54A05]
sources:
  - url: https://en.wikipedia.org/wiki/Dense_set
    locator: lead section
same_as:
  wikidata: Q673444
  wikipedia: Dense set
---

## Summary

A dense subset of a topological space is a subset whose closure is the whole space.
Each nonempty open set meets a dense set.