| Abstract: | With a slight modification of the original definition by Billera and Sturmfels, it is shown that the theory of fibre polytopes extends to one of mixed fibrepolytopes. Indeed, there is a natural surjective homomorphism from the space oftensor weights on polytopes in a euclidean space V to the corresponding spaceof such weights on fibre polytopes in a subspace of V. Moreover, thesehomomorphisms compose in the correct way; this is in contrast to the originalsituation of the fibre polytope construction. |
