This is an announcement for the paper "In which spaces every curve is Lebesgue-Pettis-integrable?" by Heinrich von Weizsacker. Abstract: In a real locally convex Hausdorff space the closed convex hull of every metrizable compact set is compact if (and only if) every continuous curve has a Pettis integral with respect to Lebesgue measure. For such spaces there is a natural concept of Bochner integrals. Archive classification: math.FA Mathematics Subject Classification: 46G10 Submitted from: weizsaecker@mathematik.uni-kl.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1207.6034 or http://arXiv.org/abs/1207.6034