 ##  [Immersion](/immersion) 

  ##  [Immersion](https://mathlogic.quantumdictionary.io/immersion-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 &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A smooth map f : M -&gt; N between differentiable manifolds whose differential df_p is injective at every point p in M; locally the map embeds tangent spaces and places M into N without infinitesimal folding, though global self-intersections may occur.