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Computing the first stages of the Bousfield-Kan spectral sequence

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Publication:969620
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DOI10.1007/s00200-010-0123-3zbMath1215.55008OpenAlexW2050962596MaRDI QIDQ969620

Ana Romero

Publication date: 7 May 2010

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

Full work available at URL: https://doi.org/10.1007/s00200-010-0123-3

zbMATH Keywords

symbolic computationBousfield-Kan spectral sequencehomology algorithmconstructive algebraic topologycomputation of homotopy groups


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Homotopy groups, general; sets of homotopy classes (55Q05) Spectral sequences in algebraic topology (55T99)


Related Items

A Bousfield-Kan algorithm for computing the \textit{effective} homotopy of a space, Effective homotopy of fibrations


Uses Software

  • Kenzo


Cites Work

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  • On the non-existence of elements of Hopf invariant one
  • Computational homology
  • Constructive algebraic topology
  • Computing spectral sequences
  • Homotopy limits, completions and localizations
  • ON THE COBAR CONSTRUCTION
  • Geometry of loop spaces and the cobar construction
  • A Second Quadrant Homotopy Spectral Sequence
  • On Products of Complexes
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