This is an announcement for the paper "On the complexity of some inevitable classes of separable Banach" by Bruno de Mendonca Braga. Abstract: In this paper, we study the descriptive complexity of some inevitable classes of Banach spaces. Precisely, as shown in [Go], every Banach space either contains a hereditarily indecomposable subspace or an unconditional basis, and, as shown in [FR], every Banach space either contains a minimal subspace or a continuously tight subspace. In these notes, we study the complexity of those inevitable classes as well as the complexity of containing a subspace in any of those classes. Archive classification: math.FA Submitted from: demendoncabraga@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1508.01961 or http://arXiv.org/abs/1508.01961