• Corpus ID: 237373879

Simlpicial intersection homology revisited

  title={Simlpicial intersection homology revisited},
  author={David Chataur and Martintxo E. Saralegi-Aranguren and Daniel Tanr'e},
Intersection homology is defined for simplicial, singular and PL chains. In the case of a filtered simplicial complex, it is well known that the three versions are isomorphic. This isomorphism is established by using the PL case as an intermediate between the singular and the simplicial situations. Here, we give a proof similar to the classical proof for ordinary simplicial complexes. We also study the intersection blown-up cohomology that we have previously introduced. In the case of a… 
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