@inbook{10.2307/j.ctt7svpc.7,
ISBN = {9780691153551},
URL = {http://www.jstor.org/stable/j.ctt7svpc.7},
abstract = {We define the notions of Γ- and Γn-null sets that will play a major role in our investigations of the interplay between differentiability, porosity, and smallness on curves or surfaces. Here we relate these notions to Gâteaux differentiability and investigate their basic properties. Somewhat unexpectedly, we discover an interesting relation between Γ- and Γn-nullGδσsets, and this will turn out to be very useful in finding a new class of spaces for which the strong Fréchet differentiability result holds in Theorem 10.6.2.In this chapter we introduce σ-ideals of subsets of a Banach spaceXcalled Γ-null sets or},
author = {Joram Lindenstrauss and David Preiss and Jaroslav Tišer},
booktitle = {Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)},
pages = {72--95},
publisher = {Princeton University Press},
title = {Γ-null and Γn-null sets},
year = {2012}
}