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 Using these properties, we improve an unpublished result of M. Heisler which gives an alternative proof of a result of D. Preiss on singular points of convex functions.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

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http://arXiv.org/abs/math.FA/0701926

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