Mathematics – Dynamical Systems
Scientific paper
2011-12-12
Mathematics
Dynamical Systems
20 pages, 1 figure
Scientific paper
In this paper we consider the topological class, denoted by AV2, of universal
covering maps from the plane to the sphere with two removed points. We prove
that an element f in AV2 with finite post-singular set is combinatorially
equivalent to a meromorphic transcendental map g with constant Schwarzian
derivative if any only if f satisfies a Bounded Geometry condition.
Chen Tairong
Jiang Yunping
Keen Linda
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