2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78139In the present paper we investigate the question about the injectivity of the map F(R) --> F(K) induced by the canonical inclusion of a local regular ring of geometric type R to its field of fractions K for a homotopy invariant functor F with transfers satisfying some additional properties. As an application we get the original proof of Special Unitary Case of Grothendieck's conjecture about principal homogeneous spaces and some other interesting examples.AMS-TeX v2.1, 28 pagesAlgebraic GeometryCommutative AlgebraGroup TheoryK-Theory and HomologyRings and Algebrastext