Source: wikibot/partition-of-unity
= Partition of unity
{wiki=Partition_of_unity}
A **partition of unity** is a mathematical concept used in various fields such as analysis, topology, and differential geometry. It refers to a collection of continuous functions that are used to locally "patch together" global constructs, such as functions or forms, in a coherent way. \#\#\# Definition: Let \\( M \\) be a topological space (often a manifold).