Geometry of non-Hausdorff spaces and its significance for physics

@article{Heller2010GeometryON,
  title={Geometry of non-Hausdorff spaces and its significance for physics},
  author={Michael Heller and Leszek Pysiak and Wiesław Sasin},
  journal={Journal of Mathematical Physics},
  year={2010},
  volume={52},
  pages={043506-043506}
}
Hausdorff relation, topologically identifying points in a given space, belongs to elementary tools of modern mathematics. We show that if subtle enough mathematical methods are used to analyze this relation, the conclusions may be far-reaching and illuminating. Examples of situations in which the Hausdorff relation is of the total type, i.e., when it identifies all points of the considered space, are the space of Penrose tilings and space-times of some cosmological models with strong curvature… 
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