On the Facial Structure of Convex Polytopes

  title={On the Facial Structure of Convex Polytopes},
  author={BY BRANKO GR{\"U}NBAUM and Branko Gr{\"u}nbaum},
A finite family C of convex polytopes in a Euclidean space shall be called a complex provided (i) every face of a member of C is itself a member of C; (ii) the intersection of any two members of C is a face of both. If P is a d-polytope (i.e., a ^-dimensional convex poly tope) we shall denote by B(P) the boundary complex of P , i.e., the complex consisting of all faces of P having dimension d— 1 or less. By C(P) we shall denote the complex consisting of all the faces of P ; thus C(P) = B(P)KJ{P… CONTINUE READING

From This Paper

Topics from this paper.
12 Citations
3 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 12 extracted citations


Publications referenced by this paper.
Showing 1-3 of 3 references

On polyhedral graphs, Convexity, Proc

  • B. Grünbaum, T. S. Motzkin
  • Sympos. Pure Math. Vol. 7, Amer. Math. Soc…
  • 1963
1 Excerpt

Dimension theory, Princeton Univ

  • W. Hurewicz, H. Wallman
  • Press, Princeton, N. J.,
  • 1948

Über n-dimensionale Komplexe, die im i?2n+i absolut selbstverschlungen sind

  • A. Flores
  • Ergebnisse Math. Kolloq
  • 1933

Similar Papers

Loading similar papers…