Given a Banach space X, a functional in X** is said to be Baire-1 if it is the pointwise limit of a bounded sequence of X. The study of the properties of the set of Baire-1 functions, denoted as B1, provides us with valuable information about the structure and the geometry of the space. In this talk, we investigate the properties of the Bourgain set B11, which is the set of Baire-1 functions that are pointwise limits of sequences whose linear span does not contain l1. In particular, we study the family of separable Banach spaces for which the inclusion B11 ⊂ B1 is strict from the Descriptive Set Theory point of view.