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arxiv: 1303.3335 · v3 · pith:MAMCN5LPnew · submitted 2013-03-14 · 🧮 math.CV · math.MG

Near geodesics in John domains in Banach spaces

classification 🧮 math.CV math.MG
keywords banachdomainjohnconedimensiondomainsgeodesicshomeomorphic
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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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