2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60843The paper is related to the author's talk at the Hayama Symposium in Complex Analysis in December 2000. In section 1 we survey results on the Oka principle for sections of holomorphic submersions over Stein manifolds. In section 2 we apply these results to the lifting problem for holomorphic mappings from Stein manifolds, and in section 3 we apply them to the problem of removability of intersections of holomorphic maps from Stein manifolds with closed complex subvarieties of the target space.Proc. of the Hayama Symposium on Several Complex Variables (Hayama 2000), pp. 49--59, Japan, 2001Complex Variables32H02, 32L05, 32Q28, 32Q55text