Corpus ID: 119643834

Local homology of abstract simplicial complexes

@article{Robinson2018LocalHO,
  title={Local homology of abstract simplicial complexes},
  author={Michael Robinson and Chris Capraro and Cliff Joslyn and Emilie Purvine and Brenda Praggastis and Stephen Ranshous and Arun V. Sathanur},
  journal={arXiv: Algebraic Topology},
  year={2018}
}
  • Michael Robinson, Chris Capraro, +4 authors Arun V. Sathanur
  • Published 2018
  • Mathematics
  • arXiv: Algebraic Topology
  • This survey describes some useful properties of the local homology of abstract simplicial complexes. Although the existing literature on local homology is somewhat dispersed, it is largely dedicated to the study of manifolds, submanifolds, or samplings thereof. While this is a vital perspective, the focus of this survey is squarely on the local homology of abstract simplicial complexes. Our motivation comes from the needs of the analysis of hypergraphs and graphs. In addition to presenting many… CONTINUE READING

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