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Spaces of Locally Convex Curves in S^n and Combinatorics of the Group B_(n+1)^+

Spaces of Locally Convex Curves in S^n and Combinatorics of the Group B_(n+1)^+

In the 1920's Marston Morse developed what is now known as Morse theory trying to study the topology of the space of closed curves on S^2. We propose to attack a very similar problem, which 80 years later remains open, about the topology of the space of closed curves on …