Geodesic
The chain-level intersection product for PL pseudomanifolds revisited
Journal of Singularities, Tome 17 (2018), pp. 330-367

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We generalize the PL intersection product for chains on PL manifolds and for intersection chains on PL stratified pseudomanifolds to products of locally finite chains on non-compact spaces that are natural with respect to restriction to open sets. This is necessary to sheafify the intersection product, an essential step in proving duality between the Goresky-MacPherson intersection homology product and the intersection cohomology cup product pairing recently defined by the author and McClure. We also provide a correction to the Goresky-MacPherson proof of a version of Poincaré duality on pseudomanifolds that is used in the construction of the intersection product.
DOI : 10.5427/jsing.2018.17n
Classification : :55N45, 55M05, 55N33, :57N80, 57Q65 
@article{10_5427_jsing_2018_17n,
     author = {Greg Friedman},
     title = {The chain-level intersection product for {PL} pseudomanifolds revisited},
     journal = {Journal of Singularities},
     pages = {330--367},
     publisher = {mathdoc},
     volume = {17},
     year = {2018},
     doi = {10.5427/jsing.2018.17n},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17n/}
}
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Greg Friedman. The chain-level intersection product for PL pseudomanifolds revisited. Journal of Singularities, Tome 17 (2018), pp. 330-367. doi: 10.5427/jsing.2018.17n

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