---
tag: 2P0WSZCVRM
kind: concept
name: Pointed set
aliases: [base-point]
sources:
  - wikipedia: en:1242444@r1351213217
    locator: Pointed set
    note: adopted
    mention: wikipedia://en/1242444
    sections: [Summary]
same_as:
  wikidata: Q3054915
  wikipedia: Pointed set
inventory: [QZX5HQXJCK]
---

## Summary

In mathematics, a **pointed set** (also **based set** or **rooted set**) is an [[ordered pair|0JQWWFCS9R]] $(X, x_0)$ where $X$ is a [[set|0BSJ7RQ9BW]] and $x_0$ is an element of $X$ called the **base point**  (also spelled **basepoint**).