---
tag: 0VQYCCQVJ5
kind: concept
name: Nowhere dense set
msc: ["54E52"]
sources:
  - url: https://en.wikipedia.org/wiki/Nowhere_dense_set
    locator: lead section
same_as:
  wikidata: Q1991405
  wikipedia: Nowhere dense set
---

## Summary

A nowhere dense subset of a topological space is a set whose closure has empty interior.
Such a set is not dense in any nonempty open set.