Locally projective-planar lattices which satisfy the bundle theorem

DOI10.1007/BF01163025zbMath0433.06013OpenAlexW2041765041MaRDI QIDQ1139067

Jeffry Kahn

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173035

zbMATH Keywords

projective spaceinversive planeMinkowski planesMiquel's theorembundle theoremrank 4 semimodular lattice

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (21)

Erdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fields ⋮ Embedding geometric lattices with topology ⋮ ON THE RELATIONSHIP BETWEEN PLANE AND SOLID GEOMETRY ⋮ Combinatorial properties of planar spaces and embeddability ⋮ Coplanarity of lines in projective and polar Grassmann spaces ⋮ Projective embedding of \([0,m\)-spaces] ⋮ Projective embedding of certain linear spaces ⋮ Embedding pseudo-complements of quadrics in PG(n,q), n\(\geq 3\), q\(\geq 2\) ⋮ Embedding finite planar spaces into 3-dimensional projective spaces ⋮ Embedding theorems for locally projective three-dimensional linear spaces ⋮ Locally projective-planar lattices which satisfy the bundle theorem ⋮ The complement of a point subset in a projective space and a Grassmann space ⋮ Locally embeddable geometries ⋮ Factorization properties for isometries of matroids into projective spaces ⋮ Flat weakly Miquelian Laguerre planes are ovoidal ⋮ Degenerate forms of Miquel axiom and dilatations in Benz planes ⋮ Sticky matroids and Kantor's conjecture ⋮ The Sylvester-Gallai theorem, colourings and algebra ⋮ An embedding theorem for finite planar spaces ⋮ A proof of the bundle theorem for certain semimodular locally projective lattices of rank 4 ⋮ Dependencies of bundle forms in Laguerre planes

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