Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 2, pp. 463464 (2004) 

Disjoint faces of complementary dimensionMike DevelinAmerican Institute of Mathematics, 360 Portage Ave., Palo Alto, CA 943062244 USA, email: develin@post.harvard.eduAbstract: In this short note, we show that if $P$ is a $d$polytope which is not the simplex, then for all $0<k<d$, we can find a $k$face of $P$ and a $(dk)$face of $P$ which are disjoint. This statement generalizes a result of Miller and Helm [HM], who proved it for the case $k=1$. [HM] Helm, D.; Miller, E.: Bass numbers of semigroupgraded local cohomology. Pacific Journal of Math. \textbf{209} (2003), 4166. Full text of the article:
Electronic version published on: 9 Sep 2004. This page was last modified: 4 May 2006.
© 2004 Heldermann Verlag
