University of Birmingham > Talks@bham > Analysis seminar > Differentiability of Lipschitz Functions inside Negligible Sets

## Differentiability of Lipschitz Functions inside Negligible SetsAdd to your list(s) Download to your calendar using vCal - Michael Dymond (Birmingham)
- Wednesday 20 February 2013, 16:00-17:00
- R17/18.
If you have a question about this talk, please contact Neal Bez. Rademacher’s Theorem states that Lipschitz functions on Euclidean spaces are differentiable almost everywhere with respect to the Lebesgue measure. Moreover, in $\mathbb{R}$, any set $N$ of Lebesgue measure zero admits a Lipschitz function on $\mathbb{R}$, nowhere differentiable on $N$. However, the situation is vastly different in Euclidean spaces of dimension higher than one. In 1990, Preiss gave an example of a Lebesgue null subset of the plane containing a differentiability point of every Lipschitz function on $\mathbb{R} This talk is part of the Analysis seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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