Jordan and Schoenflies in non-metrical analysis situs

Details Jordan and Schoenflies in non-metrical analysis situs Jordan and Schoenflies in non-metrical analysis situs

2010-10-12

arxiv.org/abs/1010.2416v1

Mathematics

General Topology

14 pages, 1 figure

Scientific paper

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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