Geodesic
A manifold associated to a topological (n_k) configuration
Ars Mathematica Contemporanea, Tome 7 (2014) no. 2, pp. 479-485.

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In the study of topological (nk) configurations in the projective plane we have n pseudo-lines and n points. Precisely k of these points are incident with each pseudo-line and, vice versa, precisely k pseudo-lines are incident with each point. We describe a non-orientable 2-manifold associated in a natural way to a topological (nk) configuration in the projective plane. Apart from being interesting in its own right, this manifold defines an equivalence class within topological configurations. It can be used to distinguish topological (nk) configurations.
DOI : 10.26493/1855-3974.241.7b5
Keywords: Point-line configuration, pseudo-line, 2-manifold 
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Jürgen Bokowski; Ricardo Strausz. A manifold associated to a topological (n_k) configuration. Ars Mathematica Contemporanea, Tome 7 (2014) no. 2, pp. 479-485. doi : 10.26493/1855-3974.241.7b5. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.241.7b5/

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