A cellation of the Grassmann manifold

被引:0
|
作者
Eaves, BC
Schmedders, KH [1 ]
机构
[1] Stanford Univ, Hoover Inst, Stanford, CA 94305 USA
[2] Stanford Univ, Dept EES & OR, Stanford, CA 94305 USA
关键词
Grassmann manifold; covering; cellation; equilibria in incomplete asset markets;
D O I
暂无
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
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.
引用
收藏
页码:253 / 262
页数:10
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