\BOOKMARK [1][-]{section.1}{1. Introduction}{} \BOOKMARK [1][-]{section.2}{2. Basic properties of weak approximation}{} \BOOKMARK [1][-]{section.3}{3. Rationally connected varieties}{} \BOOKMARK [1][-]{section.4}{4. Deformation theory}{} \BOOKMARK [1][-]{section.5}{5. Proof of the main theorem}{} \BOOKMARK [1][-]{section*.2}{References}{}