A cellation of the Grassmann manifold

A cellation of the Grassmann manifold

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Article ID: iaor2000895
Country: Netherlands
Volume: 83
Issue: 2
Start Page Number: 253
End Page Number: 262
Publication Date: Oct 1998
Journal: Mathematical Programming
Authors: ,
Keywords: programming: mathematical
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.

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