Geometry, Topology and Dynamics Seminar

Olga Lukina
University of Leicester, UK
The Schreier continuum and ends
Abstract: Intuitively, an end of a leaf in a minimal set of a foliation is a "distinct way to go to infinity". Analysis of end spaces of leaves provides information about the asymptotic behavior of leaves in the minimal set. Although the notion of an end is rather simple, it is not always easy to compute the number of ends of leaves in actual examples of minimal sets. In the talk I will introduce a notion of the Schreier continuum, which gives a way to compute end structures of leaves within the minimal set of a certain class of foliations geometrically, and give examples of computations with Schreier continua.
Wednesday November 10, 2010 at 3:00 PM in SEO 612
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