Addendum to “Refinement invariance of intersection (co)homologies”

In a previous work we proved the refinement invariance of several intersection (co)homologies existing in the literature. Specifically, we worked with a refinement $f : (X, \mathcal{S}) \to (X,\mathcal{T})$ between two CS‑sets where the strata of $\mathcal{S}$ were embedded in the strata of $\mathcal{T}$. However, in this paper, we establish that this embedding condition is not a requirement for the refinement invariance property.

Keywords

intersection homology, intersection cohomology, refinement

2010 Mathematics Subject Classification

55N33, 57N80

Full Text (PDF format)

Received 7 June 2022

Received revised 6 June 2023

Published 1 May 2024