an:05551544
Zbl 1174.46040
Zajíček, Luděk
On Lipschitz and d.c.\ surfaces of finite codimension in a Banach space
EN
Czech. Math. J. 58, No. 3, 849-864 (2008).
0011-4642 1572-9141
2008
j
46T05 58C20 47H05
multiplicity points of monotone operators; singular points of convex functions; Aronszajn null sets
Summary: 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 differentiation theory and in abstract approximation theory. Using these properties, we improve an unpublished result of \textit{M.\,Heisler} which gives an alternative proof of a result of \textit{D.\,Preiss} on singular points of convex functions.
0758.46034