Multicomplexes and spectral sequences. (English) Zbl 1210.18015
This is a paper of algebraic examples inspired by the author’s joint work with A. Banyaga [Trans. Am. Math. Soc. 362, No. 8, 3997–4043 (2010; Zbl 1226.57038)]. A multicomplex is a bigraded module with differentials \(d_i\), \(i \geq 0\) with the same grading shifts as that of a spectral sequence. Every multicomplex gives rise to a spectral sequence, although the converse is not true. The point of the paper is to compare the spectral sequence of a multicomplex with the multicomplex itself. The main observation is that they can be different.
Reviewer: Paul Goerss (Evanston)
Citations:
Zbl 1226.57038References:
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