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Homotopy types of diagrams of chain complexes

Algebraic Topology 2024-04-05 v1

Abstract

We study the homotopy theory of diagrams of chain complexes over a field indexed by a finite poset, and show that it can be completely described in terms of appropriate diagrams of graded vector spaces.

Keywords

Cite

@article{arxiv.2404.03589,
  title  = {Homotopy types of diagrams of chain complexes},
  author = {David Blanc and Surojit Ghosh and Aziz Kharoof},
  journal= {arXiv preprint arXiv:2404.03589},
  year   = {2024}
}