Corpus ID: 118523174

Successive Spectral Sequences

@article{Matschke2013SuccessiveSS,
  title={Successive Spectral Sequences},
  author={B. Matschke},
  journal={arXiv: Algebraic Topology},
  year={2013}
}
  • B. Matschke
  • Published 2013
  • Mathematics
  • arXiv: Algebraic Topology
If a chain complex is filtered over a poset I, then for every chain in I we obtain a spectral sequence. In this paper we define a spectral system that contains all these spectral sequences and relates their pages via differentials, extensions, and natural isomorphisms. We also study an analog of exact couples that provides a more general construction method for these spectral systems. This turns out to be a good framework for unifying several spectral sequences that one would usually apply one… Expand
10 Citations

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