δ through the use of standard least squares methods for determining a bivariant regression plane.

common generalization both of K-homology and K-theory as an additive bivariant functor on separable C*-algebras.

In mathematics, a bivariant theory was introduced by Fulton and MacPherson (Fulton " MacPherson 1981) harv error: no target: CITEREFFultonMacPherson1981.

The last one is very close to K-theory as it is endowed with a bivariant Chern character from KK-theory.

ordering; bivariant if both of these apply (i.

A bivariant theory is a pair of covariant and contravariant.

Paley-Wiener theorem by characterizing the spherical transforms of smooth K-bivariant functions of compact support on G.

This, in turn, led to K-homology, Kasparov"s bivariant KK-theory, and, more recently, Connes and Higson"s E-theory.

A further development in this is a bivariant version of K-theory called KK-theory, which has a composition product.

The localized Chern class of this complex is a class in the bivariant Chow group of X ⊂ Y {\displaystyle X\subset Y} defined as follows.

Springer Verlag 1998 With Joachim Cuntz, Ralf Meyer: Topological and bivariant K-theory, Birkhauser 2007 Editor Robert Doran, Greg Friedman: Superstrings.

"operational Chow ring" and more generally a bivariant theory associated to any morphism of schemes.