We will look at various notions which arise in geometric measure theory such as "positive Hausdorff-measure" and "purely unrectifiable" (a subset of a Hilbert space is purely unrectifiable if its intersection with any smooth curve has 1-dimensional Hausdorff measure zero). Some open questions in geometric measure theory reside around characterizing these properties in various ways. Here I present a result which might contribute to that program, namely proving descriptive set theoretic complexities of these classes of sets.
Definability of Pure Unrectifiability
03.04.2014 15:00 - 16:30
Organiser:
KGRC
Location:
SR 101, 2. St., Währinger Str. 25