ABSTRACT: The connection between torsion pairs and bricks has been a central topic in the representation theory

of finite-dimensional algebras. Bricks were shown to control both the structure of individual torsion pairs as well as the  

local structure of their poset. 

A remarkable feature of this brick approach is its generality: most of these results can be immediately extended to

 the context of abelian length categories.

We discuss an elementary characterisation of brick-finite abelian categories, appearing also in a recent survey by 

Ringel: the number of isomorphism classes of bricks is finite if and only if every torsion class is finitely generated and 

every torsionfree class is finitely cogenerated.

We conclude by observing the differences with the finite-dimensional algebra context where the one-sided condition is sufficient.
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