Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 45, No. 2, pp. 463-464 (2004)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 2, pp. 463-464 (2004) |
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Disjoint faces of complementary dimensionMike DevelinAmerican Institute of Mathematics, 360 Portage Ave., Palo Alto, CA 94306-2244 USA, e-mail: 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 $(d-k)$-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 semigroup-graded local cohomology. Pacific Journal of Math. \textbf{209} (2003), 41--66. Full text of the article:
Electronic version published on: 9 Sep 2004. This page was last modified: 4 May 2006.
© 2004 Heldermann Verlag
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