# Mathematical Sciences Research Institute

Home » MSRI-UP Colloquium: Tangents to Sigma-finite Curves

# Seminar

MSRI-UP Colloquium: Tangents to Sigma-finite Curves July 10, 2015 (02:00 PM PDT - 03:30 PM PDT)
Parent Program: -- MSRI: Baker Board Room
Speaker(s) Bobby Wilson (Massachusetts Institute of Technology)
Description No Description
Video
In this talk, we will discuss the question of whether continuous, simple curves in Euclidean space with sigma-finite length have tangents at any points.  The results on $\sigma$-finite curves that we will discuss were initiated by the observation that the graph of a continuous function on [0,1] that satisfies a weak-Lipschitz property has sigma-finite one-dimensional Hausdorff measure. We will discuss our conclusion that every $\sigma$-finite curve has a tangent, in the pointwise sense, on a set of positive measure. This is joint work with M. Csornyei.