Source: wikibot/open-set
= Open set
{wiki=Open_set}
In the context of mathematics, particularly in topology, an **open set** refers to a fundamental concept that helps define various properties of spaces. Here's a more detailed explanation: 1. **Definition**: A set \\( U \\) in a topological space \\( X \\) is called an open set if, for every point \\( x \\) in \\( U \\), there exists a neighborhood around \\( x \\) that is entirely contained within \\( U \\).