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arxiv: 1010.2416 · v1 · pith:P6DR33OSnew · submitted 2010-10-12 · 🧮 math.GN · math.GT

Jordan and Schoenflies in non-metrical analysis situs

classification 🧮 math.GN math.GT
keywords jordanschoenfliestheoremanalysisapplicationsconcludecontextcurve
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We show that both, the Jordan curve theorem and the Schoenflies theorem extend to non-metric manifolds (at least in the two-dimensional context), and conclude by some dynamical applications \`a la Poincar\'e-Bendixson.

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