2 papers
math.MG2024
Qualitative Lipschitz to bi-Lipschitz decomposition
David Bate
We prove that any Lipschitz map that satisfies a condition inspired by the work of David may be decomposed into countably many bi-Lipschitz pieces.
math.CA2024
Fragment-wise differentiable structures
David Bate, Sylvester Eriksson-Bique, Elefterios Soultanis
The -modulus of curves, test plans, upper gradients, charts, differentials, approximations in energy and density of directions are all concepts associated to the theory of Sobol…