##  [Base Change Functor](/base-change-functor) 

  ##  [Base Change Functor](https://puremath.quantumdictionary.io/base-change-functor-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 functor induced by a morphism of base objects that transports fibered or parametrized structures along that morphism, commonly realized as pullback (inverse image) and sometimes as pushforward operations relating categories over different bases.