Generalized line stars and topological parallelisms of the real projective 3-space
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Publication:1021332
DOI10.1007/S00022-008-2072-6zbMath1168.51003OpenAlexW2118586459MaRDI QIDQ1021332
Publication date: 8 June 2009
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00022-008-2072-6
non-Clifford parallelismtopological parallelismgeneralized line pencilgeneralized line star3-pencilcontinuous generalized line star
Translation planes and spreads in linear incidence geometry (51A40) Line geometries and their generalizations (51M30) Topological linear incidence structures (51H10)
Related Items (9)
A characterization of Clifford parallelism by automorphisms ⋮ Compactness of the automorphism group of a topological parallelism on real projective 3-space ⋮ Clifford parallelism: old and new definitions, and their use ⋮ Regular parallelisms from generalized line stars in \(P_{3} \mathbb{R}\): a direct proof ⋮ Automorphisms of some topological regular parallelisms of \(\mathrm{PG}(3, \mathbb{R})\) ⋮ Parallelisms of \(\text{PG}(3, {\mathbb R})\) composed of non-regular spreads ⋮ Hyperflock determining line sets and totally regular parallelisms of \(\text{PG}(3,\mathbb{R})\) ⋮ Regular parallelisms on \(\mathrm{PG}(3,\mathbb{R})\) admitting a \(2\)-torus action ⋮ Regular parallelisms on \(\mathrm{PG}(3, \mathbb{R} )\) from generalized line stars: the oriented case
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