1. On Lipschitz and d.c. surfaces of finite codimension in a Banach space
- Creator:
- Zajíček, Luděk
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Banach space, Lipschitz surface, d.c. surface, multiplicity points of monotone operators, singular points of convex functions, and Aronszajn null sets
- Language:
- English
- Description:
- 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 Using these properties, we improve an unpublished result of M. Heisler which gives an alternative proof of a result of D. Preiss on singular points of convex functions.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public