This is an announcement for the paper "Kadets type theorems for partitions of a convex body" by Arseniy Akopyan and Roman Karasev. Abstract: For convex partitions of a convex body $B$ we prove that we can put a homothetic copy of $B$ into each set of the partition so that the sum of homothety coefficients is $\ge 1$. In the plane the partition may be arbitrary, while in higher dimensions we need certain restrictions on the partition. Archive classification: math.CO math.FA Mathematics Subject Classification: 52C15, 52C17, 52A40, 52A21 Submitted from: r_n_karasev@mail.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1106.5635 or http://arXiv.org/abs/1106.5635