Complexity of triangulations of the projective space.

DOI10.1016/S0166-8641(03)00034-8zbMath1034.57022arXivmath/0205326OpenAlexW2064111866MaRDI QIDQ1403825

Simon A. King

Publication date: 4 September 2003

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205326

zbMATH Keywords

triangulationprojective spacenormal surfacelocal transformationedge contractions3-dimensional manifolds

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Comparison of PL-structures: classification, Hauptvermutung (57Q25)

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How to make a triangulation of $S^3$ polytopal

Cites Work

• P.l. homeomorphic manifolds are equivalent by elementary shellings
• The size of triangulations supporting a given link
• Generating the triangulations of the projective plane
• The size of spanning disks for polygonal curves
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• The number of Reidemeister moves needed for unknotting
• How to make a triangulation of $S^3$ polytopal
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