In mathematics, a Grassmannian's a space which parameterizes all linear subspaces of a vector space V of a given dimension. For example, the Grassmannian Gr1(V)'s the space of lines through the origin in V, so it's the same as the projective space PV. Grassmannians are named in honor of Hermann Grassmann. Motivation By giving subspaces a topological structure it's possible to talk about a continuous choice of subspace or open and closed collections of subspaces; by giving them the structure of… (More on Grassmannian)