This preprint contains proofs of the results anounced in Panin-Smirnov in the part concerning the construction of push-forwards for an oriented cohomology theory. It is constructed one-to-one correspondences between orientations, Chern structures, Thom structures and integrations on a given ring cohomology theory. The theory is illustrated by motivic cohomology, algebraic K-theory, algebraic cobordism theory and by other examples.

- 0619.bib (260 bytes)
- pushsep.dvi (404668 bytes) [February 1, 2003]
- pushsep.dvi.gz (145947 bytes)
- pushsep.pdf (539984 bytes)
- pushsep.ps.gz (375074 bytes)

Ivan Panin <panin@pdmi.ras.ru>