Embedding geometric lattices with topology

DOI10.1016/0097-3165(86)90011-7zbMath0596.51009OpenAlexW2082254258MaRDI QIDQ1078803

Hansjoachim Groh

Publication date: 1986

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(86)90011-7

zbMATH Keywords

embeddinggeometric convexitystable planestopological geometric latticestopological projective space

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Topological lattices, etc. (topological aspects) (54H12) Semimodular lattices, geometric lattices (06C10) Topological lattices (06B30) Topological linear incidence structures (51H10) Topological geometry (51H99)

Related Items (5)

Geometric lattices with topology ⋮ Stable planes ⋮ Models of topological space geometries ⋮ Varieties of Topological Geometries ⋮ Topological geometric lattices

Cites Work

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• Einbettung von topologischen Raumgeometrien auf \(R^ 3\) in den reellen affinen Raum
• A proof of the bundle theorem for certain semimodular locally projective lattices of rank 4
• Geometric lattices with topology
• Locally projective-planar lattices which satisfy the bundle theorem
• Dimension and embedding theorems for geometric lattices
• Zur Begründung der projektiven Geometrie
• Topologische projektive Räume
• Lokal desarguessche Salzmann-Ebenen

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