##  [Inflation](/inflation) 

  ##  [Inflation](https://algebra.quantumdictionary.io/inflation-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A canonical pullback homomorphism that carries cohomological classes, extension classes, or similar obstruction data from a quotient, subobject, or simpler model into a larger ambient object; concretely, it is the map induced by precomposition with a structural morphism so that classes defined on a smaller or quotient object are realized in the bigger object.