How to make a triangulation of $S^3$ polytopal
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Publication:4813860
DOI10.1090/S0002-9947-04-03465-8zbMath1045.52007arXivmath/0009216OpenAlexW1629823811MaRDI QIDQ4813860
Publication date: 13 August 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0009216
shellabilityspherical triangulationpolytopalityRubinstein-Thompson algorithmedge contractibilityMorse embeddings
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Related Items (3)
Complexity of triangulations of the projective space. ⋮ The size of triangulations supporting a given link ⋮ Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds
Cites Work
- Many triangulated spheres
- Unshellable triangulations of spheres
- Knots and shellable cell partitionings of \(S^ 3\)
- Complexity of triangulations of the projective space.
- The size of triangulations supporting a given link
- The size of spanning disks for polygonal curves
- Simplifying triangulations of \(S^3\).
- Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
- Über eine numerische Knoteninvariante
- The d-Step Conjecture and Its Relatives
- Lectures on Polytopes
- CROSSING NUMBER OF LINKS FORMED BY EDGES OF A TRIANGULATION
- An algorithm for the recognition of 3-spheres (according to Thompson)
- Knots
- Non-constructible complexes and the bridge index
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