with P. Huovinen, Points of ε differentiability of Lipschitz functions RnRn-1 , Bull. London Math. Soc., 34(5), 2002. 539-550.



This paper proves that for every Lipschitz function f : RnRn-1 there exists at least one point of ε differentiability of f which is the union of all n-1 dimensional affine subspaces of the form q0 + span{q1,...,qn-1} where qj, j=0,...,n-1, are points in Rn with rational coordinates.