Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten (original) (raw)

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Literatur

1. J.W. Alexander, The combinatorial theory of complexes, Ann. of Math. 31, 292–320 (1930).
   Article MathSciNet MATH Google Scholar
2. A. Āltshuler, J. Bokowski, L. Steinberg, The classification of simplicial 3-spheres with nine vertices into polytopes and non polytopes, Discrete Math. 31 (1980), 115–124.
   Article MathSciNet MATH Google Scholar
3. D. W. Barnette, A proof of the lower bound conjecture for convex polypes, Pacific J. Math. 46 (1973), 349–354.
   Article MathSciNet MATH Google Scholar
4. L. J. Billera, C.W. Lee, A proof of the sufficiency of McMullen’s conditions for f-vectors of simplicial convex polytopes, J. Comb. Theory Ser. A 31 (1981), 237–255.
   Article MathSciNet MATH Google Scholar
5. H. Bruggesser, P. Mani, Shellable decompositions of cells and spheres, Math. Scand, 29 (1972), 197–205.
   MathSciNet MATH Google Scholar
6. G. Danaraj, V. Klee, Which spheres are shellable? Ann. of Discrete Math. 2 (1978), 33–52.
   Article MathSciNet MATH Google Scholar
7. V. I. Danilov, Birational Geometry Of Toric 3-Folds, Math. USSR Izvestiya, Vol. 21 (1983), No. 2.
8. R. D. Edwards, The double suspension of a certain homology 3-sphere is S5, A.M.S. Notices 22 (1975), A-334.
   Google Scholar
9. F. Ehlers, Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten, Math. Ann. 218 (1975), 127–156.
   Article MathSciNet MATH Google Scholar
10. G. Ewald, Über die stellare Äquivalenz konvexer Polytope, Resultate der Math. 1 (1978), 54–60.
    Article MathSciNet MATH Google Scholar
11. G. Ewald, Torische Varietäten und konvexe Polytope, Bericht Nr. 40/1985, Ruhr-Universität Bochum.
12. G. Ewald, G. C. Shephard, Stellar subdivisions of boundary complexes of convex polytopes, Math. Ann. 210 (1974), 7–16.
    Article MathSciNet MATH Google Scholar
13. L.C. Glaser, Geometrical Combinatorial Topology, Bd. 1, New York 1970.
14. B. Grünbaum, Convex Polytopes, Interscience, New York 1967.
    MATH Google Scholar
15. J. F. P. Hudson, Piecewise Linear Topology, New York: Benjamin 1969.
    MATH Google Scholar
16. B. Kind, P. Kleinschmidt, Schälbare Cohen-Macaulay Komplexe und ihre Parametrisierung, Math. Z. 167, 173–179 (1979).
    Article MathSciNet MATH Google Scholar
17. P. Kleinschmidt, Stellare Abänderungen und Schälbarkeit von Komplexen und Polytopen, J. of Geom. 11/2, 161–176 (1978).
    Article MathSciNet MATH Google Scholar
18. P. Kleinschmidt, U. Pachner, Shadow-boundaries and cuts of convex polytopes. Mathematika 27 (1980), 58–63.
    Article MathSciNet MATH Google Scholar
19. A. Mandel, Topology of Oriented Matroids, Ph. D. Thesis. University of Waterloo, Ontario, Canada 1982.
    Google Scholar
20. P. Mani, D.W. Walkup, A 3-sphere Counterexample to the W -path Conjecture, Math. of Operation Research 5 (1980), 595–598.
    Article MathSciNet MATH Google Scholar
21. P. Mc Mullen, The maximum numbers of faces oc a convex polytope, Mathematika 17, 179–184 (1970).
    Article MathSciNet Google Scholar
22. T. Oda, Torus embeddings and applications, Tata Inst. Fund. Res., Bombay, Springer-Verlag, Berlin and New York, 1978.
    Google Scholar
23. U. Pachner, Bistellare Äquivalenz kombinatorischer Mannigfaltigkeiten. Arch. Math. 30, 89–98 (1978).
    Article MathSciNet MATH Google Scholar
24. U. Pachner, Über die bistellare Äquivalenz simplizialer Sphären und Polytope. Math. Z. 176, 565–576 (1981).
    Article MathSciNet MATH Google Scholar
25. U. Pachner, Diagonalen in Simplizialkomplexen, Geome. Ded. 24 (1987), 1–28.
    MathSciNet MATH Google Scholar
26. G. Reisner, Cohen-Macaulay quotients of polynomial rings, Adv. in Math. 21 (1976), 30–49.
    Article MathSciNet MATH Google Scholar
27. R. P. Stanley, Cohen-Macaulay rings and constructible polytopes, Bull. Amer. Math. Soc. 81, 133–135 (1975).
    Article MathSciNet MATH Google Scholar
28. R. P. Stanley, The upper bound conjecture and Cohen-Macaulay rings, Stud. Appl. Math. 54, 135–142 (1975).
    Article MathSciNet MATH Google Scholar
29. R. P. Stanley, The number of faces of a simplicial convex polytope Adv. in Math. 35, 236–238 (1980).
    Article MathSciNet MATH Google Scholar

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