Refinement invariance of intersection (co)homologies

Martintxo Saralegi-Aranguren (1)

1 LML - Laboratoire de Mathématiques de Lens

We study the refinement invariance of several intersection (co)homologies existing in the literature. These (co)homologies have been introduced in order to establish the Poincar ́e Duality in various contexts. We found the classical topological invariance of the intersection homology and also various refinement invariance results already proved.

Domains: Mathematics [math]; Algebraic Topology [math.AT]

Martintxo Saralegi-Aranguren. Refinement invariance of intersection (co)homologies. 2022. ⟨hal-02289500⟩