The polytope algebra
From MaRDI portal
Publication:1262537
DOI10.1016/0001-8708(89)90029-7zbMath0686.52005OpenAlexW1984499246MaRDI QIDQ1262537
Publication date: 1989
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(89)90029-7
Related Items
The convex-set algebra and intersection theory on the toric Riemann-Zariski space, On Hodge-Riemann relations for translation-invariant valuations, The Hodge theory of the Hecke category, A valuation-theoretic approach to translative-equidecomposability, The \(K\)-theory of assemblers, The intersection ring of matroids, The Mixed Volumes and Geissinger Multiplications of Convex Sets, Weights on polytopes, Hodge theory for combinatorial geometries, Combinatorial mixed valuations, The integral polytope group, Hopf Monoids and Generalized Permutahedra, Stellahedral geometry of matroids, Groups of convex bodies, The geometry of geometries: matroid theory, old and new, Learning Polytopes with Fixed Facet Directions, Tropical cycles and Chow polytopes, Rigidity and flexibility of virtual polytopes, Signed permutohedra, delta‐matroids, and beyond, Schubert matroids, Delannoy paths, and Speyer's invariant, Generalized translation invariant valuations and the polytope algebra, SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY, Triangulations of Cayley and Tutte polytopes, Tropical fans and normal complexes: putting the ``volume back in ``volume polynomials, From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies, Scissors congruence with mixed dimensions, An Euler relation for valuations on polytopes, The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial geometric measures for noncompact polyhedra, Characteristic classes of affine varieties and Plücker formulas for affine morphisms, The prime ideal structure of the Minkowski ring of polytopes, Valuations on lattice polytopes, The ring of conditions of a semisimple group, Newton polytopes, increments, and roots of systems of matrix functions for finite-dimensional representations, Minkowski-type and Alexandrov-type theorems for polyhedral herissons, Fibre tilings, On hyperbolic virtual polytopes and hyperbolic fans, Perspectives on scissors congruence, Stable intersections of tropical varieties, A differential algebra and the homotopy type of the complement of a toric arrangement, Ring of simple polytopes and differential equations, The polytope algebra of generalized permutahedra, The polytope algebra of generalized permutahedra, Hedgehog theory via Euler calculus, Inequalities between intrinsic volumes, Morse theory and toric vector bundles, A quasisymmetric function for matroids, Valuations and Tensor Weights on Polytopes, On simple polytopes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weakly continuous valuations on convex polytopes
- Ein Fortsetzungssatz für additive Eipolyederfunktionale im euklidischen Raum
- Multilinearität bei Polyederaddition
- Minkowski addition and mixed volumes
- How to cut a convex polytope into simplices
- Lifting projections of convex polyhedra
- Non-linear angle-sum relations for polyhedral cones and polytopes
- Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes
- The algebra of polytopes in affine spaces.
- Angle‐sum relations for polyhedral sets
- A valuation property of Steiner points
- Polytopes, Valuations, and the Euler Relation
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
