Computation of Cubical Steenrod Squares

DOI10.1007/978-3-319-39441-1_13zbMath1339.68273OpenAlexW2495014080WikidataQ112163821 ScholiaQ112163821MaRDI QIDQ2815195

Paweł Pilarczyk, Marek Krčál

Publication date: 27 June 2016

Published in: Computational Topology in Image Context (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39441-1_13

zbMATH Keywords

cup productcubical complexcohomology operationchain contraction

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Simplicial sets and complexes in algebraic topology (55U10) Steenrod algebra (55S10)

Related Items

Cochain level May-Steenrod operations ⋮ Solving equations and optimization problems with uncertainty ⋮ A computer algebra system for the study of commutativity up to coherent homotopies ⋮ Persistence Steenrod modules

Uses Software

• CHomP
• ChainCon

Cites Work

• The cubical cohomology ring: an algorithmic approach
• The 9-vertex complex projective plane
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• HPT and cocyclic operations
• Products of cocycles and extensions of mappings
• Homologie singulière des espaces fibrés. Applications
• On the groups \(H(\Pi,n)\). I
• Robust Satisfiability of Systems of Equations
• Simplicial Perturbation Techniques and Effective Homology
• Polynomial-Time Computation of Homotopy Groups and Postnikov Systems in Fixed Dimension
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