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Near geodesics in John domains in Banach spaces

Published 14 Mar 2013 in math.CV and math.MG | (1303.3335v3)

Abstract: Let $E$ be a real Banach space with dimension at least 2. In this paper, we prove that if $D\subset E$ is a John domain which is homeomorphic to an inner uniform domain via a CQH map, then each neargeodesic in $D$ is a cone arc.

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