This is an announcement for the paper "On Lipschitz and d.c. surfaces of finite codimension in a Banach space" by Ludvek Zajivcek. Abstract: Properties of Lipschitz and d.c. surfaces of finite codimension in a Banach space, and properties of generated $\sigma$-ideals are studied. These $\sigma$-ideals naturally appear in the differentiation theory and in the abstract approximation theory. Using these properties, we improve an unpublished result of M. Heisler which gives an alternative proof of a result of D. Preiss on singular points of convex functions. Archive classification: Functional Analysis Mathematics Subject Classification: 46T05, 58C20, 47H05 Remarks: 13 pages The source file(s), ZAJICEK2.TEX: 48703 bytes, is(are) stored in gzipped form as 0701926.gz with size 15kb. The corresponding postcript file has gzipped size 99kb. Submitted from: zajicek@karlin.mff.cuni.cz The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0701926 or http://arXiv.org/abs/math.FA/0701926 or by email in unzipped form by transmitting an empty message with subject line uget 0701926 or in gzipped form by using subject line get 0701926 to: math@arXiv.org.