31 citations · 118 across the 22 of their papers we have counts for
24 papers
Homotopy truncations of homotopically stratified spaces
David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré
Intersection homology of Goresky and MacPherson can be defined from the Deligne sheaf, obtained from truncations of complexes of sheaves. As intersection homology is not the homolo…
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…
A reasonable notion of dimension for singular intersection homology
David Chataur, Martintxo Saralegi-Aranguren, Daniel Tanré
M. Goresky and R. MacPherson intersection homology is also defined from the singular chain complex of a filtered space by H. King, with a key formula to make selections among singu…
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…
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…
Sheaves of E-infinity algebras and applications to algebraic varieties and singular spaces
David Chataur, Joana Cirici
We describe the E-infinity algebra structure on the complex of singular cochains of a topological space, in the context of sheaf theory. As a first application, for any algebraic v…