A note on polyhedral cones
- 1 December 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 22 (4) , 456-461
- https://doi.org/10.1017/s1446788700016311
Abstract
In this short note, two results on a solid, pointed, closed cone C in Rn will be given: first, C is polyhedral iff it has a finite number of maximal faces; second, for any face F of C, C* ∩ F┴ is a face of its dual cone C* of dimension n – dim F.Keywords
This publication has 3 references indexed in Scilit:
- The lattice of faces of a finite dimensional coneLinear Algebra and its Applications, 1973
- On the upper-bound conjecture for convex polytopesJournal of Combinatorial Theory, Series B, 1971
- Convexity and Optimization in Finite Dimensions IPublished by Springer Nature ,1970