Non-projectability of polytope skeleta

DOI10.1016/j.aim.2011.09.004zbMath1242.52017arXiv0908.0845OpenAlexW2042114732MaRDI QIDQ655337

Thilo Rörig, Raman Sanyal

Publication date: 4 January 2012

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

Full work available at URL: https://arxiv.org/abs/0908.0845

zbMATH Keywords

topological obstructionswedge productsproducts of simplicespolyhedral surfacesdimensional ambiguityproducts of polygonsprojection of polytopes

Mathematics Subject Classification ID

Polyhedral manifolds (52B70)

Related Items (6)

Construction and analysis of projected deformed products ⋮ On Ranks of Regular Polygons ⋮ Prodsimplicial-neighborly polytopes ⋮ Graphs, skeleta and reconstruction of polytopes ⋮ The convex dimension of hypergraphs and the hypersimplicial Van Kampen-Flores theorem ⋮ Topological obstructions for vertex numbers of Minkowski sums

Cites Work

• Prodsimplicial-neighborly polytopes
• One-point suspensions and wreath products of polytopes and spheres
• Kneser's conjecture, chromatic number, and homotopy
• Construction and analysis of projected deformed products
• Dissections, Hom-complexes and the Cayley trick
• Topological obstructions for vertex numbers of Minkowski sums
• A combinatorial condition for the existence of polyhedral 2-manifolds
• Constructions for projectively unique polytopes
• Neighborly cubical polytopes
• Polyhedral surfaces in wedge products
• Lectures on Polytopes
• Projected products of polygons
• On the facial structure of convex polytopes
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
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