7 citations · 22 across the 16 of their papers we have counts for
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math.FA2021
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…
math.FA2021
Porosity phenomena of non-expansive, Banach space mappings
Michael Dymond
For any non-trivial convex and bounded subset of a Banach space, we show that outside of a -porous subset of the space of non-expansive mappings , all mappings have…
math.MG2021★ 1 cited
Divergence of separated nets with respect to displacement equivalence
Michael Dymond, Vojtěch Kaluža
We introduce a hierachy of equivalence relations on the set of separated nets of a given Euclidean space, indexed by concave increasing functions .…