Geometric lattices with topology

DOI10.1016/0097-3165(86)90010-5zbMath0596.51008OpenAlexW2027804306MaRDI QIDQ1078802

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)90010-5

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 (12)

Embedding geometric lattices with topology ⋮ Stable planes ⋮ Topological pseudo-ovals, elation Laguerre planes, and elation generalized quadrangles ⋮ Compact Tits quadrangles as Lie geometries of topological Laguerre spaces ⋮ Defining topological projective spaces and topological Grassmann spaces ⋮ Models of topological space geometries ⋮ Varieties of Topological Geometries ⋮ Compact spreads and compact translation planes over locally compact fields ⋮ Topological geometric lattices ⋮ Topological projective spaces ⋮ Incidence manifolds ⋮ On topological projective spaces and their Grassmannians

Cites Work

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• Kompakte projektive Ebenen
• Embedding geometric lattices with topology
• Vierdimensionale stabile Ebenen
• Zur Begründung der projektiven Geometrie
• Topological geometries and a new characterization of \(R^ m\)
• Topological planes
• Topologische projektive Räume
• A topology for semi-modular lattices
• Über den Zusammenhang in topologischen projektiven Ebenen
• A Metrization Problem Concerning Lattices
• Order and Topology in Projective Planes

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