3 papers
math.AT2025
Simplicial intersection homology revisited
David Chataur, Martin Saralegi-Aranguren, Daniel Tanré
Intersection homology is defined for simplicial, singular and PL chains and it is well known that the three versions are isomorphic for a full filtered simplicial complex. In the l…
math.AT2025
Natural operations in Intersection Cohomology
David Chataur, Daniel Tanré
Eilenberg-MacLane spaces, that classify the singular cohomology groups of topological spaces, admit natural constructions in the framework of simplicial sets. The existence of simi…
math.AT2025
Relation between intersection homology and homotopy groups
David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré
As Goresky and MacPherson intersection homology is not the homology of a space, there is no preferred candidate for intersection homotopy groups. Here, they are defined as the homo…