Abstract
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.
Original language | English (US) |
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Pages (from-to) | 253-262 |
Number of pages | 10 |
Journal | Mathematical Programming, Series B |
Volume | 83 |
Issue number | 2 |
State | Published - Oct 1 1998 |
Keywords
- Cellation
- Covering
- Equilibria in incomplete asset markets
- Grassmann manifold
ASJC Scopus subject areas
- Software
- Mathematics(all)