In algebraic topology, universal coefficient theorems establish relationships between homology groups (or cohomology groups) with different coefficients.

In the mathematical theory of artificial neural networks, universal approximation theorems are theoremsBalázs Csanád Csáji Approximation with Artificial Neural Networks; Faculty of Sciences; Eötvös Loránd University, Hungary of the following form: Given a family of neural networks, for each function from a certain function space, there exists a sequence of neural networks from the family, such that according to some criterion.