# Possibilities Stemming from the Euclidean Setting

## Amos Nathan Koeller

### (Tuebingen University)

Date: Oct 10, 2011, time: 16:50

Place: Centro De Giorgi, Scuola Normale Superiore

Abstract. We observe possible directions of research inspired by work in a Euclidean setting. Firstly we consider various forms of a Reifenberg-type multi-resolutional linear approximation analysis, not dissimilar to ideas already used in the traveling salesman problem and in other applications of Jones’ $\beta$-numbers. Secondly we consider a possible form of dimension determination for scattered, or dust sets, given by a comparison principle.