This is an announcement for the paper "A compact null set containing a differentiability point of every Lipschitz function" by Michael Doree and Olga Maleva. Abstract: We prove that in a Euclidean space of dimension at least two, there exists a compact set of Lebesgue measure zero such that any real-valued Lipschitz function defined on the space is differentiable at some point in the set. Such a set is constructed explicitly. Archive classification: math.FA math.CA Mathematics Subject Classification: 46G05; 46T20 Remarks: 31 pages The source file(s), DoreMaleva.tex: 76535 bytes, is(are) stored in gzipped form as 0804.4576.gz with size 22kb. The corresponding postcript file has gzipped size 144kb. Submitted from: o.maleva@warwick.ac.uk The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0804.4576 or http://arXiv.org/abs/0804.4576 or by email in unzipped form by transmitting an empty message with subject line uget 0804.4576 or in gzipped form by using subject line get 0804.4576 to: math@arXiv.org.