Computing fundamental groups from point clouds

DOI10.1007/s00200-014-0244-1zbMath1333.57004OpenAlexW1965311558WikidataQ112198293 ScholiaQ112198293MaRDI QIDQ2352510

Mateusz Juda, Paweł Dłotko, Piotr Brendel, Marian Mrozek, Graham J. Ellis

Publication date: 2 July 2015

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-014-0244-1

zbMATH Keywords

fundamental groupcomputationdiscrete Morse theoryfinite presentationregular CW-complex

Mathematics Subject Classification ID

Related Items (6)

\(A_\infty\) persistent homology estimates detailed topology from pointcloud datasets ⋮ Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes ⋮ Approximations of 1-dimensional intrinsic persistence of geodesic spaces and their stability ⋮ Computing with knot quandles ⋮ Cohomology with local coefficients and knotted manifolds ⋮ Computing fundamental groups from point clouds

Uses Software

• GAP
• SageMath
• HAP
• RedHom
• Knot Atlas
• KnotInfo

Cites Work

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• Combinatorial homotopy. I
• Combinatorial homotopy. II
• Simple Homotopy Types
• The word problem

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