Manifolds: Hausdorffness versus homogeneity

Abstract

We analyze the relationship between Hausdorffness and homogeneity in the frame of manifolds, not confined to be Hausdorff. We exhibit examples of homogeneous non-Hausdorff manifolds and prove that a Lindelöf homogeneous manifold is Hausdorff.

arXiv comment6 pages, 4 figures