A tightness criterion for homology manifolds with or without boundary

DOI10.1016/j.ejc.2014.11.002zbMath1322.57019arXiv1406.4299OpenAlexW2963843065MaRDI QIDQ2255796

Bhaskar Bagchi

Publication date: 18 February 2015

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4299

zbMATH Keywords

Homology manifoldNeighbourly simplicial complexStacked simplicial complexTight triangulation

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Triangulating manifolds (57Q15) Polyhedral manifolds (52B70)

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Average Betti numbers of induced subcomplexes in triangulations of manifolds ⋮ A Construction Principle for Tight and Minimal Triangulations of Manifolds ⋮ Tight combinatorial manifolds and graded Betti numbers ⋮ The mu vector, Morse inequalities and a generalized lower bound theorem for locally tame combinatorial manifolds ⋮ Tight triangulations of closed 3-manifolds

Cites Work

• On the generalized lower bound conjecture for polytopes and spheres
• An infinite family of tight triangulations of manifolds
• On \(k\)-stellated and \(k\)-stacked spheres
• The mu vector, Morse inequalities and a generalized lower bound theorem for locally tame combinatorial manifolds
• Stacked polytopes and tight triangulations of manifolds
• Higherdimensional analogues of Császár's torus
• Tight polyhedral submanifolds and tight triangulations
• On \(r\)-stacked triangulated manifolds
• Tight polyhedral Klein bottles, projective planes, and Möbius bands
• On stellated spheres and a tightness criterion for combinatorial manifolds
• ON POLYTOPAL UPPER BOUND SPHERES
• Tightly Embedded 2-Dimensional Polyhedral Manifolds
• A census of tight triangulations

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