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Contents Online
Homology, Homotopy and Applications
Volume 26 (2024)
Number 1
Addendum to “Refinement invariance of intersection (co)homologies”
Pages: 259 – 274
DOI: https://dx.doi.org/10.4310/HHA.2024.v26.n1.a16
Author
Abstract
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
Received 7 June 2022
Received revised 6 June 2023
Published 1 May 2024