Jordan and Schoenflies in non-metrical analysis situs

Abstract

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 à la Poincaré-Bendixson.

arXiv comment14 pages, 1 figure

References in corpus (2)

• Metrisability of Manifolds
• Foliations on non-metrisable manifolds: absorption by a Cantor black hole

Cited by in corpus (1)

• Dynamics of non-metric manifolds