RELATIVE A1-HOMOLOGY AND ITS APPLICATIONS

In this paper, we prove an A(1)-homology version of the White-head theorem with dimension bound. We also prove an excision theorem for A(1)-homology, Suslin homology and A(1)-homotopy sheaves. In order to prove these results, we develop a general theory of relative A(1)-homology and A(1)-homotopy sheaves. As an application, we compute the relative A(1)-homology of a hyperplane embedding Pn-1 hooked right arrow P-n.