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Polyedrische 2-Mannigfaltigkeiten mit wenigen nichtkonvexen Ecken. (German) Zbl 0525.52009


MSC:

52Bxx Polytopes and polyhedra
57Q35 Embeddings and immersions in PL-topology
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References:

[1] Altshuler, A.: Polyhedral realization in ?3 of triangulations of the torus and 2-manifolds in cyclic 4-polytopes. Discrete Math.1, 211-238 (1971). · Zbl 0235.57001 · doi:10.1016/0012-365X(71)90011-2
[2] Barnette, D.: Nonconvex vertices of toroidal polytopes. Israel J. Math. (Im Druck.) · Zbl 0507.51012
[3] Gritzmann, P.: Polyedrische Realisierungen geschlossener 2-dimensionaler Mannigfaltigkeiten im ?3. Dissertation. Siegen. 1980. · Zbl 0477.57011
[4] Gritzmann, P.: The toroidal analogue to Eberhard’s theorem. Mathematika30, 274-290 (1983). · Zbl 0534.57011 · doi:10.1112/S002557930001055X
[5] Gr?nbaum, B.: Convex Polytopes. New York: Interscience. 1967. · Zbl 0163.16603
[6] Simutis, J.: Geometric Realizations of Toroidal Maps. Ph. D. Thesis. Univ. of California, Davis. 1977.
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