@inbook{10.2307/j.ctt7svpc.16,
ISBN = {9780691153551},
URL = {http://www.jstor.org/stable/j.ctt7svpc.16},
abstract = {In Chapters 10 and 13 we have established conditions on a Banach spaceXunder which porous sets inXare Γn-null and/or the the multidimensional mean value estimates for Fréchet derivatives of Lipschitz maps inton-dimensional spaces hold. Here we show in what sense these results are close to being optimal. Under conditions that can be argued to be close to complementary to those from the previous chapters, we find a σ-porous set whose complement is null on alln-dimensional surfaces and the multidimensional mean value estimates fail even forε-Fréchet derivatives. Particular situations in which these negative results},
author = {Joram Lindenstrauss and David Preiss and Jaroslav Tišer},
booktitle = {Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)},
pages = {319--354},
publisher = {Princeton University Press},
title = {Unavoidable porous sets and nondifferentiable maps},
year = {2012}
}