Universal Super Vector Bundles

Abstract: A new generalization of Grassmannians, called {\nu}-grassmannians, and a canonical super vector bundle over this new space, say {\Gamma}, are introduced. Then, constructing a Gauss supermap of a super vector bundle, the universal property of {\Gamma} is discussed. Finally, we generalize one of the main theorems of homotopy classification for vector bundles in supergeometry.