The Curves Not Carried

نویسنده

  • VAIBHAV GADRE
چکیده

Suppose τ is a train track on a surface S. Let C (τ) be the set of isotopy classes of simple closed curves carried by τ. Masur and Minsky [2004] prove that C (τ) is quasi-convex inside the curve complex C (S). We prove that the complement, C (S)−C (τ), is quasi-convex.

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تاریخ انتشار 2015