---
tag: 072J68M6HX
kind: concept
name: Comparison of topologies
aliases: [finer-topology, coarser-topology]
msc: [54A10]
sources:
  - url: https://en.wikipedia.org/wiki/Comparison_of_topologies
    locator: lead section
same_as:
  wikidata: Q906456
  wikipedia: Comparison of topologies
---

## Summary

Two topologies on one set can be compared by inclusion. The finer topology has more open sets and the coarser topology has fewer open sets.