Projections of polytopes on the plane and the generalized Baues problem

DOI10.1090/S0002-9939-00-05728-2zbMath0974.52011OpenAlexW1569806769MaRDI QIDQ2718978

Christos A. Athanasiadis

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05728-2

zbMATH Keywords

convex polytopepolytopal subdivisionaffine projectionBaues posetsphere homotopy type

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Combinatorics of partially ordered sets (06A07) Classification of homotopy type (55P15)

Cites Work

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• Fiber polytopes
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Visibility complexes and the Baues problem for triangulations in the plane
• The number of geometric bistellar neighbors of a triangulation
• The graph of triangulations of a point configuration with \(d+4\) vertices is 3-connected
• Monotone paths on polytopes
• Projections of polytopes and the generalized Baues conjecture
• Fiber polytopes for the projections between cyclic polytopes
• Extension spaces of oriented matroids
• Geometry of loop spaces and the cobar construction
• Cellular Strings on Polytopes
• Lectures on Polytopes
• On the refinements of a polyhedral subdivision

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