Cones and convex bodies with modular face lattices

Mathematics – Geometric Topology

Scientific paper

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12 pags, 1 figure

Scientific paper

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.

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