On Lipschitz and D.c. Surfaces of Finite Codimension in a Banach Space

@inproceedings{Zajiek2007OnLA,
  title={On Lipschitz and D.c. Surfaces of Finite Codimension in a Banach Space},
  author={Luděk Zaj´i{\vc}ek},
  year={2007}
}
  • Luděk Zaj´iček
  • Published 2007
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 Using these properties, we improve an unpublished result of M. Heisler which gives an alternative proof of a result of D. Preiss on singular points of convex functions. 

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