Lifting inequalities for polytopes

DOI10.1016/j.aim.2004.05.005zbMath1079.52007OpenAlexW2124647703MaRDI QIDQ1779283

Richard Ehrenborg

Publication date: 1 June 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.05.005

zbMATH Keywords

convolutionflag \(f\)-vector\textbf{cd}-indexPolytopetoric \(g\)-vector

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11)

Related Items

Balanced and Bruhat graphs ⋮ Euler flag enumeration of Whitney stratified spaces ⋮ Manifold arrangements ⋮ The Tchebyshev transforms of the first and second kind ⋮ Affine and toric hyperplane arrangements ⋮ The 𝑐𝑑-index: A survey ⋮ A signed analog of the Birkhoff transform

Cites Work

• Rigidity and the lower bound theorem. I
• A new basis of polytopes
• Hard Lefschetz theorem for nonrational polytopes
• Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
• Intersection homology of toric varieties and a conjecture of Kalai
• The number of faces of a simplicial convex polytope
• A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
• A new index for polytopes
• Coproducts and the cd-index
• Flag \(f\)-vectors and the \(cd\)-index
• The c--2d-index of oriented matroids
• Non-negative cd-coefficients of Gorenstein* posets.
• Three theorems, with computer-aided proofs, on three-dimensional faces and quotients of polytopes
• \(k\)-Eulerian posets
• The extended f-vectors of 4-polytopes
• Relationships among flag \(f\)-vector inequalities for polytopes
• Extremal problems for the Möbius function in the face lattice of the \(n\)-octahedron
• Monotonicity of the cd-index for polytopes
• The toric ℎ-vectors of partially ordered sets
• Shellable Decompositions of Cells and Spheres.
• Unnamed Item
• Unnamed Item
• Unnamed Item