Duality in stable planes and related closure and kernel operations

DOI10.1007/BF01229209zbMath0926.51015OpenAlexW2056915876MaRDI QIDQ1288015

Holger Bickel

Publication date: 21 November 1999

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229209

zbMATH Keywords

automorphism groupstable planedual planeopposite plane

Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45) Topological linear incidence structures (51H10) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Cites Work

• Topological affine planes composed of two desarguesian halfplanes and projective planes with trivial collineation group
• Symmetric planes
• Central collineations and the parallel axiom in stable planes
• A local fundamental theorem for classical topological projective spaces
• Stable planes of low dimension admitting reflections at many lines
• On restrictions of automorphism groups of compact projective planes to subplanes
• Vierdimensionale stabile Ebenen
• Stable planes with isotropic points
• Geometries on surfaces
• Topology and dimension of stable planes: On a conjecture of H. Freudenthal.
• Unnamed Item

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