@article{oai:ir.kagoshima-u.ac.jp:00003320,
 author = {YOKURA, Shoji},
 journal = {鹿児島大学理学部紀要, Reports of the Faculty of Science, Kagoshima University},
 month = {Dec},
 note = {The bivariant theory was introduced by W. Fulton and R. MacPherson to unify both co variant and contravariant theories. They posed the problem of unique existence of a bivariant Chern class and J.-P. Brasselet showed the existence of a bivariant Chern class in the category of analytic varieties with cellular morphisms. The uniqueness problem is still open. In this paper, without assuming cellularness of morphisms, using resolution of singularites, we construct a quasi-bivariant theory F_∞ of constructive functions and a quasi-bivariant homology theory H_∞ and we show that there exists a unique quasi-Grothendieck transformation γ_∞ : F_∞ → H_∞ satisfying that γ_∞ for morphisms to a point becomes the Chern-Schwartz-MacPherson class transformation c_* : F → H_*. We also show that if a bivariant Chern class γ : F → H exists, then γ : F → H is uniquely embedded into γ_∞ : F_∞ → H_∞.},
 pages = {17--28},
 title = {QUASI-BIVARIANT CHERN CLASSES OBTAINED BY RESOLUTIONS OF SINGULARITIES : Dedicated to Professor Shoji Tsuboi on the occasion of his sixtieth birthday},
 volume = {36},
 year = {2003}
}