2014 seminar talk: Definability of Pure Unrectifiability

Talk held by Vadim Kulikov (KGRC) at the KGRC seminar on 2014-04-03.


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.

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Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.