21 citations · 32 across the 9 of their papers we have counts for
10 papers · 1 filter
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…