Topology of complements of skeletons

DOI10.37236/11748arXiv2209.08434OpenAlexW4391258547WikidataQ129296533 ScholiaQ129296533MaRDI QIDQ6117416

Rowan Rowlands

Publication date: 19 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.08434

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) General topology of complexes (57Q05) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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• On the generalized lower bound conjecture for polytopes and spheres
• Rigidity and the lower bound theorem. I
• Geodesics in CAT(0) cubical complexes
• Graphs, skeleta and reconstruction of polytopes
• Intersections of Leray complexes and regularity of monomial ideals
• A simple proof of the upper bound theorem
• Topological results in combinatorics
• An extended Euler-Poincaré theorem
• The almost simple cubical polytopes
• Relating CAT(0) cubical complexes and flag simplicial complexes
• Weak hyperbolicity of cube complexes and quasi-arboreal groups
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• The Partition Complex: an invitation to combinatorial commutative algebra

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