Multicomplexes and spectral sequences

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In this note, we present some algebraic examples of multicomplexes whose differentials differ from those in the spectral sequences associated to the multicomplexes. The motivation for constructing examples showing the algebraic distinction between a multicomplex and its associated spectral sequence comes from the author's work on MorseBott homology with A. Banyaga [A. Banyaga and D. E. Hurtubise, MorseBott homology, Trans. Amer. Math. Soc. (to appear), arXiv:math/0612316v2].

Original languageEnglish (US)
Pages (from-to)519-530
Number of pages12
JournalJournal of Algebra and its Applications
Issue number4
StatePublished - Aug 2010

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics


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