A cellation of the Grassmann manifold
Motivated by the computation of equilibria in economic models with incomplete asset markets, a cellation of the Grassmann manifold is constructed by restricting a common atlas. The Grassmann manifold of m-planes in n-dimensional space is shown to be a union of n choose m congruent m(n - m)-dimensional topological disks whose interiors are disjoint. (C) 1998 The Mathematical Programming Society, Inc. Published by Elsevier Science B.V.
cellation grassmann manifold covering equilibria in incomplete asset markets