# Simlpicial intersection homology revisited

@inproceedings{Chataur2021SimlpicialIH, title={Simlpicial intersection homology revisited}, author={David Chataur and Martintxo E. Saralegi-Aranguren and Daniel Tanr'e}, year={2021} }

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…

## One Citation

### A construction of intersection cohomology from a simplicial version of the Deligne axioms

- Mathematics
- 2022

Intersection (co)homology is a way to enhance classical (co)homology, allowing us to use a famous result called Poincar´e duality on a large class of spaces known as stratiﬁed pseudomanifolds. There…

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