This is an announcement for the paper "Differentiability of Lipschitz functions in Lebesgue null sets" by David Preiss and Gareth Speight.
Abstract: We show that if n>1 then there exists a Lebesgue null set in R^n containing a point of differentiability of each Lipschitz function mapping from R^n to R^(n-1); in combination with the work of others, this completes the investigation of when the classical Rademacher theorem admits a converse. Avoidance of sigma-porous sets, arising as irregular points of Lipschitz functions, plays a key role in the proof.
Archive classification: math.FA math.CA
Mathematics Subject Classification: 46G05, 46T20
Remarks: 33 pages
Submitted from: G.Speight@Warwick.ac.uk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1304.6916
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