21 citations · 32 across the 9 of their papers we have counts for
11 papers
Chain rule for pointwise Lipschitz mappings
Jan Kolář, Olga Maleva
The classical Chain Rule formula gives the (partial, or directional) derivative of the composition of mappings and . We show how to get r…
Extreme non-differentiability of typical Lipschitz mappings
Michael Dymond, Olga Maleva
We show that no matter what subset of a normed space is given, a typical 1-Lipschitz mapping into a Banach space is non-differentiable at a typical point of the set in a very stron…
On the structural decomposition of planar Lipschitz quotient mappings
Ricky Hutchins, Olga Maleva
We show that for each fixed non-constant complex polynomial of the plane there exists a homeomorphism such that is a Lipschitz quotient mapping. This corrects er…
Typical Lipschitz mappings are typically non-differentiable
Michael Dymond, Olga Maleva
We prove that a typical Lipschitz mapping between any two Banach spaces is non-differentiable at typical points of any given subset of its domain in the most extreme form. This is…
A dichotomy of sets via typical differentiability
Michael Dymond, Olga Maleva
We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function, namely, that it cannot be covered by count…
Cone unrectifiable sets and non-differentiability of Lipschitz functions
Olga Maleva, David Preiss
We provide sufficient conditions for a set to be a non-universal differentiability set, i.e. to be contained in the set of points of non-differentiability of…