##  [Submersion](/submersion) 

  ##  [Submersion](https://mathlogic.quantumdictionary.io/submersion-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A smooth map f : M -> N between differentiable manifolds whose differential df_p is surjective at every point p in M; locally it behaves like a projection from a product, lowering dimension by producing full tangent images at the target points.