This is an announcement for the paper "Equivalence of multi-norms" by H. Garth Dales, Matthew Daws, Hung Le Pham, and Paul Ramsden. Abstract: The theory of multi-norms was developed by H.\ G.\ Dales and M.\ E.\ Polyakov in a memoir that was published in \emph{Dissertationes Mathematicae}. In that memoir, the notion of `equivalence' of multi-norms was defined. In the present memoir, we make a systematic study of when various pairs of multi-norms are mutually equivalent. Archive classification: math.FA Mathematics Subject Classification: Primary 46B28, Secondary 46M05, 47L05 Submitted from: hung.pham@vuw.ac.nz The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1304.2096 or http://arXiv.org/abs/1304.2096