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Findings in General Mathematics Reported from University of Rennes
October 18th, 2011
"We study the topological space of left-orderings of the braid group, and its subspace of Nielsen-Thurston orderings. Our main result is that no Nielsen-Thurston ordering is isolated in the space of braid orderings," scientists in Rennes, France report.
"In the course of the proof, we classify the convex subgroups and calculate the Conradian soul for any Nielsen-Thurston ordering of B-n. We also prove that, for a large class of Nielsen-Thurston orderings, including all those of infinite type, a stronger result holds: they are approximated by their own conjugates," wrote A. Navas and colleagues, University of Rennes.
The researchers concluded: "On the...
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Source: VerticalNews Mathematics (2011-10-18)