Cones and convex bodies with modular face lattices

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Authors
Labardini-Fragoso, D.
Neumann-Coto, M.
Takane, M.
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Abstract
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If a convex body C has modular and irreducible face lattice (and is not strictly convex), there is a face-preserving homeomorphism from C to a section of a cone of hermitian matrices or C has dimension 8, 14 or 26.
Comment: 12 pags, 1 figure
Keywords
Mathematics - Geometric Topology, Mathematics - Metric Geometry, 52A20, 06C05, 51A05, 15A48
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