##  [Foliation](/foliation) 

  ##  [Foliation](https://puremath.quantumdictionary.io/foliation-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A decomposition of a manifold-like topological space into a disjoint union of connected injectively immersed submanifolds called leaves, so that locally the space is homeomorphic to a product U × L with leaves corresponding to slices {u} × L.