Skip to main content
SpringerLink
Log in

Stellar subdivisions of boundary complexes of convex polytopes

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

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 ofn dimensions. Proc. Roy. Soc. London Ser. A.115, 103–119 (1927)

    Google Scholar 

Download references

Author information

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
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. C. Shephard
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01344542

Keywords

Search

Navigation