Stellar subdivisions of boundary complexes of convex polytopes (original) (raw)

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References

1. Alexander, J. W.: The combinatorial theory of complexes. Ann. of Math.31, 292–320 (1930)
   Google Scholar
2. Alexandroff, P., Hopf, H.: Topologie. Berlin-Göttingen-Heidelberg: Springer 1935
   Google Scholar
3. Finney, R. L.: The insufficiency of barycentric subdivision. Michigan J. Math.12, 263–272 (1965)
   Google Scholar
4. Grünbaum, B.: Convex Polytopes. London-New York-Sydney: Interscience 1967
   Google Scholar
5. Lee, K.C.: Kombinatorische Invarianten von endlichem Komplex. Acta Math. Sinica8, 473–482 (1958) (Chinese); — German version in Scientia Sinica8, 449–460 (1959)
   Google Scholar
6. Lefschetz, S.: Topology, American Math. Soc. Colloquium Publications No. 12 (1930), Second Edition, New York 1956
7. Mazur, B.: Combinatorial equivalence versus topological equivalence. Trans. American Math. Soc.111, 288–316 (1964)
   Google Scholar
8. Milnor, J.: Two complexes which are homeomorphic but combinatorially distinct. Ann. Math.74, 575–590 (1961)
   Google Scholar
9. Newman, M.H.A.: Combinatorial topology of convex regions. Proc. Nat. Acad. Sci.16 (3), 240–242 (1930)
   Google Scholar
10. Sommerville, D. M. Y.: The relations connecting the angle-sums and volume of a polytope in space of_n_ dimensions. Proc. Roy. Soc. London Ser. A.115, 103–119 (1927)
    Google Scholar

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Authors and Affiliations

1. Ruhr-Universität Bochum, D-4630, Bochum, Federal Republic of Germany
   G. Ewald
2. University of East Anglia, NOR 88 C, Norwich, England
   G. C. Shephard

Authors

1. G. Ewald
2. G. C. Shephard

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Ewald, G., Shephard, G.C. Stellar subdivisions of boundary complexes of convex polytopes.Math. Ann. 210, 7–16 (1974). https://doi.org/10.1007/BF01344542

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• Received: 13 July 1973
• Issue date: March 1974
• DOI: https://doi.org/10.1007/BF01344542

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