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math.GN2010★ 2 cited
Jordan and Schoenflies in non-metrical analysis situs
Alexandre Gabard, David Gauld
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 app…
math.GN2009★ 6 cited
Foliations on non-metrisable manifolds: absorption by a Cantor black hole
Mathieu Baillif, Alexandre Gabard, David Gauld
We investigate contrasting behaviours emerging when studying foliations on non-metrisable manifolds. It is shown that Kneser's pathology of a manifold foliated by a single leaf can…