Realizability of the torus and the projective plane in ?4 |
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| Authors: | Ulrich Brehm Göran Schild |
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| Institution: | (1) Institute of Geometry, Technical University of Dresden, 01062 Dresden, Germany;(2) German National Research Center for Computer Science (GMD), PF 1316, 53731 Sankt Augustin, Germany |
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| Abstract: | We show that every triangulation of the projective plane or the torus is isomorphic to a subcomplex of the boundary complex
of a simplicial 5-dimensional convex polytope and thus linearly embeddable in ℝ4. |
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