G. Kennedy et al., NATURAL TRANSFORMATIONS FROM CONSTRUCTIBL E FUNCTIONS TO HOMOLOGY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 319(9), 1994, pp. 969-973
For complex projective varieties, all natural transformations from con
structible functions to homology (module torsion) are linear combinati
ons of the Chern-MacPherson-Schwartz classes. In particular, the total
Chern class is the only such natural transformation c such that for a
ll projective spaces P, the top component of c (1p) is the fundamental
class of P.