On Lipschitz and d.c. surfaces of finite codimension in a Banach space
Luděk Zajíček
Abstract
Properties of Lipschitz and d.c. surfaces of finite codimension in a Banach space, and properties of generated σ-ideals are studied. These σ-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 Using these properties, we improve an unpublished result of M. Heisler which gives an alternative proof of a result of D. Preiss on singular points of convex functions.
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