AFFINE REPRESENTABILITY RESULTS IN A(1)-HOMOTOPY THEORY, I: VECTOR BUNDLES

摘要

We establish a general "affine representability" result in A(1)-homotopy theory over a general base. We apply this result to obtain representability results for vector bundles in A(1)-homotopy theory. Our results simplify and significantly generalize Morel's A(1)-representability theorem for vector bundles.