Reconstructing \(d\)-manifold subcomplexes of cubes from their \((\lfloor d/2\rfloor+1)\)-skeletons

DOI10.1007/s00454-021-00321-4zbMath1485.52011arXiv1906.03736OpenAlexW3192931081MaRDI QIDQ2117351

Rowan Rowlands

Publication date: 21 March 2022

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03736

zbMATH Keywords

manifoldssimplicial complexesPoincaré dualitycubical complexes

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Polyhedral manifolds (52B70) Poincaré duality spaces (57P10) Combinatorial aspects of simplicial complexes (05E45)

Related Items (1)

Relating CAT(0) cubical complexes and flag simplicial complexes

Cites Work

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• Geodesics in CAT(0) cubical complexes
• Graphs, skeleta and reconstruction of polytopes
• Triangulated n-manifolds are determined by their \([n/2+1\)-skeletons]
• Neighborly cubical polytopes and spheres
• Generalizations of Baxter's theorem and cubical homology
• Neighborly cubical spheres and a cubical lower bound conjecture
• Computational homology
• Neighborly cubical polytopes
• Cubulations, immersions, mappability and a problem of habegger
• Lectures on Polytopes
• CUBIC MANIFOLDS IN LATTICES
• $B$-valuations of graphs

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