Source: wikibot/ultrafilter
= Ultrafilter
{wiki=Ultrafilter}
An ultrafilter is a mathematical concept that arises in the field of set theory and topology, particularly in the context of ordered sets and Boolean algebras. Here's an overview of what an ultrafilter is: 1. **Definition**: An ultrafilter on a set \\( X \\) is a maximal filter, which is a collection of subsets of \\( X \\) that satisfies certain properties: - It is non-empty.