Skip to main content
SpringerLink
Log in

Flache Einbettungen geschlossener Mannigfaltigkeiten der Kodimension 1 in Randkomplexe konvexer Polytope

  • 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.

Institutional subscriptions

Literatur

  1. Altshuler, A.: Manifolds in stacked 4-polytops. J. Comb. Theory10, 198–239 (1971)

    Google Scholar 

  2. Altshuler, A.: Polyhedral realizations in IR3 of triangulations of the torus and 2-manifolds in cyclic 4-polytopes. Discrete Math.1, No. 3 (1971)

    Google Scholar 

  3. Barnette, D.: A simple 4-dimensional nonfacet. Israel J. Math.7, 19–20 (1969)

    Google Scholar 

  4. Betke, U., Schulz, Ch., Wills, J. M.: Bänder und Möbiusbänder in konvexen Polytopen. Abh. Math. Sem. Hamburg44, 249–262 (1975)

    Google Scholar 

  5. Ewald, G.: Hamiltonian circuits in simplicial complexes. Geometriae Dedicata 2, 115–125 (1973)

    Google Scholar 

  6. Ewald, G., Shephard, G. C.: Stellar subdivisions of boundary complexes of convex polytopes. Math. Ann.210, 7–16 (1974)

    Google Scholar 

  7. Grünbaum, B.: Convex polytopes. New York: Interscience 1967

    Google Scholar 

  8. Grünbaum, B.: How to cut all edges of a polytope? Am. Math. Monthly79, 890–895 (1972)

    Google Scholar 

  9. Hudson, J. F. P.: Piecewise linear topology. Math. Lecture Note Ser. New York: Benjamin 1969

    Google Scholar 

  10. Pachner, U.: Untersuchungen über die Dualität zwischen Schnitten und Submannigfaltigkeiten konvexer Polytope und allgemeinerer kombinatorischer Mannigfaltigkeiten. Eingereicht bei Abh. Math. Sem. Hamburg

  11. Pachner, U.: Schnitt- und Überdeckungszahlen kombinatorischer Sphären. Erscheint in Geometriae Dedicata

  12. Shephard, G. C.: Sections and projections of convex polytopes. Mathematika19, 144–162 (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik der Ruhr-Universität, D-4630, Bochum, Bundesrepublik Deutschland

    U. Pachner

Authors
  1. U. Pachner
    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

Pachner, U. Flache Einbettungen geschlossener Mannigfaltigkeiten der Kodimension 1 in Randkomplexe konvexer Polytope. Math. Ann. 228, 187–196 (1977). https://doi.org/10.1007/BF01351169

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01351169

Search

Navigation