Addendum to: ``Bivariant Chern-Schwartz-MacPherson classes with values in Chow groups'' (Q1880389)

The authors give a supplement to an earlier paper [Sel. Math., New Ser. 8, No. 1, 1--25 (2002; Zbl 0994.14004)]. There, the existence of a unique Grothendieck transformation \(\gamma\) from the bivariant theory \(\mathbb{F}\) of constructible functions to the operational bivariant Chow homology theory \(A^{\text{PI}}\) was proved. The latter differs from the bivariant theory \(A^{\text{PIF}}\) of \textit{W. Fulton} and \textit{R. MacPherson} [Categorical framework for the study of singular spaces, Mem. Am. Math. Soc. 243 (1981; Zbl 0467.55005)]. In this addendum, the authors point out that there exists a maximal bivariant theory \(\widehat{\mathbb{F}}\) of constructible functions such that there is a unique Grothendieck transformation from \(\widehat{\mathbb{F}}\) to \(A^{\text{PIF}}\) which satisfies the same normalization condition as \(\gamma\).