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A cellation of the Grassmann manifold

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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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Authors and Affiliations

  1. Department of EES and OR, Stanford University, 94305-4023, Stanford, CA, USA

    B. Curtis Eaves

  2. Hoover Institution, Stanford University, 94305, Stanford, CA, USA

    Karl H. Schmedders

Authors
  1. B. Curtis Eaves
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  2. Karl H. Schmedders
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Correspondence to Karl H. Schmedders.

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Curtis Eaves, B., Schmedders, K.H. A cellation of the Grassmann manifold. Mathematical Programming 83, 253–262 (1998). https://doi.org/10.1007/BF02680561

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  • DOI: https://doi.org/10.1007/BF02680561

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