• Corpus ID: 119643834

Local homology of abstract simplicial complexes

  title={Local homology of abstract simplicial complexes},
  author={Michael Robinson and Christopher Capraro and Cliff Joslyn and Emilie Purvine and Brenda Praggastis and Stephen Ranshous and Arun V. Sathanur},
  journal={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… 

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Wilder manifolds are locally orientable.

  • G. E. Bredon
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1969
A proof is given for the long-standing conjecture of R. L. Wilder that every generalized manifold is locally orientable. Roughly speaking, a generalized n-manifold is a locally compact space whose


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