Connected 1D non-Hausdorff manifolds with locally finite non-Hausdorff points and countable-base complement components quotient onto an open 1D CW complex that is their minimal Hausdorff quotient.
Interpreting non-Hausdorff (generalized) manifolds in general relativity.Philos
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One-dimensional non-Hausdorff manifolds and CW complexes
Connected 1D non-Hausdorff manifolds with locally finite non-Hausdorff points and countable-base complement components quotient onto an open 1D CW complex that is their minimal Hausdorff quotient.