In the study of topological ?$(n_k)$? 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 ?$(n_k)$? 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 ?$(n_k)$? configurations.

Rights

URN

URN:NBN:SI:DOC-UN1X2SFC

COBISSID

17073753

Added

29.05.2020

Metadata

Citation

APA:

Bokowski, Jürgen, Strausz, Ricardo (2014). A manifold associated to a topological (n sub k) configuration. Ars mathematica contemporanea, volume 7, issue 2, str. 479-485. URN:NBN:SI:DOC-UN1X2SFC from http://www.dlib.si

MLA:

Bokowski, Jürgen, Strausz, Ricardo. "A manifold associated to a topological (n sub k) configuration." Ars mathematica contemporanea volume 7. issue 2 (2014) str. 479-485.
<http://www.dlib.si/?URN=URN:NBN:SI:DOC-UN1X2SFC>

Ars mathematica contemporanea
2008-
(Assembly record)