In this thesis, we want to present the basic theory of tensor categories in order to give a precise statement of what is a neutral Tannakian category, which is the simplest notion of Tannakian category. After that, we give ...

The groupoid of finite sets has a “canonical” structure of a symmetric 2-rig with the sum and product respectively given by the coproduct and product of sets. This 2-rig ^ FSet is just one of the many non-equivalent ...

Homotopy Theory focuses in the study of algebraic structures up to homotopy, a notion that allows to study algebraic invariants of topological and geometric origin. A classical technique in Homotopy Theory, introduced by ...