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References
Arden, B.W., Astill, K.N.: Numerical algorithms: origins and applications. Reading, MA: Addison-Wesley 1970
Altshuler, A.: Neighborly 4-polytopes and neighborly combinatorial 3-manifolds with ten vertices. Can. J. Math.29, 400–420 (1977)
Altshuler, A., Steinberg, L.: An enumeration of combinatorial 3-manifolds with nine vertices. Discrete Math.16, 91–108 (1976)
Arnoux, P., Marin, A.: The Kühnel triangulation of the complex projective plane from the view-point of complex crystallography, Part II. Mem. Fac. Sci. Kyushu Univ., Ser. A45, 167–244 (1991)
Barnette, D., Gannon, D.: Manifolds with few vertices. Discrete Math.16, 291–298 (1976)
Bokowski, J., Garms, K.: Altshuler's sphereN 10425 is not polytopal. Eur. J. Comb.8, 227–229 (1987)
Brehm, U.: A minimal polyhedral Dirichlet tessellation of the complex projective plane (in preparation)
Brehm, U., Kühnel, W.: A polyhedral model for Cartan's hypersurface inS 4. Mathematika33, 55–61 (1986)
Brehm, U., Kühnel, W.: Combinatorial manifolds with few vertices. Topology26, 465–473 (1987)
Coxeter, H.S.M., Moser, W.O.J.: Generators and relations for discrete groups, 4th ed. (Ergeb. Math. Grenzgeb., vol. 14) Berlin Heidelberg New York. Springer 1980
Dancis, J.: Triangulatedn-manifolds are determined by their [n/2]+1-skeletons. Topology Appl.18, 17–26 (1984)
Eells, J., Kuiper, N.H.: Manifolds which are like projective planes. Publ. Math. Inst. Hautes Etud. Sci.14, 181–222 (1962)
Glaser, L.C.: Geometrical combinatorial topology. I, II. New York: van Nostrand 1970
Grünbaum, B.: Convex polytopes. New York: Interscience Publishers 1967
Hudson, J.F.P.: Piecewise linear topology. University of Chicago lecture notes. New York: Benjamin 1969
Kühnel, W.: Tight triangulations and tight polyhedral submanifolds ofE N. (Preprint)
Kühnel, W.: Triangulations of manifolds with few vertices, In: Tricerri, F. (ed.), Advances in Differential Geometry and Topology, pp. 59–114 Singapore. World Scientific 1990
Kühnel, W., Banchoff, T.P.: The 9-vertex complex projective plane. Math. Intell.5(3), 11–22 (1983)
Kühnel, W., Lassmann, G.: The unique 3-neighborly 4-manifold with few vertices. J. Comb. Theory, Ser. A35, 173–184 (1983)
Kuiper, N.H.: Tight embeddings and maps. Submanifolds of geometrical class three inE N. In: Hsiang, W.Y. et al. (eds.) The Chern Symposium. Berkeley, 1979, pp. 97–145 Berlin Heidelberg New York: Springer 1980
Kuiper, N.H.: Geometry in total absolute curvature theory, (Perspec. Math., pp. 377–392) Anniversary of Oberwolfach. Basel Boston Stuttgart: Birkhäuser 1984
Kuiper, N.H., Pohl, W.: Tight topological embeddings of the real projective plane inE 5. Invent. Math.42, 177–199 (1977)
Milin, L.: A combinatorial computation of the first Pontryagin class of the complex projective plane. Thesis Athens, Georgia (1987)
Morin, B., Yoshida, M.: The Kühnel triangulation of the complex projective plane from the viewpoint of complex crystallography, Part I. Mem. Fac. Sci. Kyushu Univ., Ser. A45, 55–142 (1991)
Tai, S.S.: On minimum imbeddings of compact symmetric spaces of rank one. J. Differ. Geom.2, 55–66 (1968)
Takeuchi, M., Kobayashi, S.: Minimal imbeddings ofR-spaces. J. Differ. Geom.2, 203–215 (1968)
Walkup, D.: The lower bound conjecture for 3- and 4-manifolds. Acta Math.125, 75–107 (1970)