A cellation of the Grassmann manifold |
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| Authors: | B Curtis Eaves Karl H Schmedders |
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| Institution: | (1) Department of EES and OR, Stanford University, 94305-4023 Stanford, CA, USA;(2) Hoover Institution, Stanford University, 94305 Stanford, CA, USA |
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| 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 ofm-planes inn-dimensional space is shown to be a union ofn choosem congruentm(n−m)-dimensional topological disks whose interiors are disjoint. |
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| Keywords: | Grassmann manifold Covering Cellation Equilibria in incomplete asset markets |
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