Differentiability of continuous homomorphisms between smooth loops

DOI10.1007/BF03323137zbMath0817.22004MaRDI QIDQ1320069

Richard Bödi, Linus K. H. Kramer

Publication date: 16 May 1994

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

differentiabilitydifferentiable homomorphismcontinuous local homomorphismdifferentiable projective planessmooth left or right loopssmooth local \(H\)-spaces

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Geometries with differentiable structure (51H25)

Related Items

On homomorphisms between generalized polygons ⋮ Smooth stable planes ⋮ Extensions and tangent prolongations of differentiable loops ⋮ Smooth projective planes ⋮ Stabilizers of collineation groups of smooth stable planes

Cites Work

• Behaviour of loops in a canonical coordinate system
• Automorphism groups of compact projective planes
• On topological Tits buildings and their classification
• Homogene kompakte projektive Ebenen
• Automorphism groups of differentiable double loops
• Local Contractions and a Theorem of Poincare
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