The identity component of the leaf preserving diffeomorphism group is perfect

DOI10.1007/BF01294862zbMath0847.57033OpenAlexW2335770143MaRDI QIDQ1907009

Tomasz Rybicki

Publication date: 28 January 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178707

zbMATH Keywords

foliationhomologysimplicial complexleaf preserving diffeomorphism\({\mathcal L}\)-categorygroup of diffeomorphism

Mathematics Subject Classification ID

Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Differential topological aspects of diffeomorphisms (57R50)

Related Items (11)

On the simplicity of homeomorphism groups of a tilable lamination ⋮ Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces. I ⋮ The first homology of the group of equivariant diffeomorphisms and its applications ⋮ Boundedness of certain automorphism groups of an open manifold ⋮ Locally continuously perfect groups of homeomorphisms ⋮ On the structure of the commutator subgroup of certain homeomorphism groups ⋮ On the first homology of automorphism groups of manifolds with geometric structures ⋮ Commutator length of leaf preserving diffeomorphisms ⋮ Diffeomorphisms preserving Morse-Bott functions ⋮ Commutators of \(C^{\infty }\)-diffeomorphisms preserving a submanifold ⋮ The necessary and sufficient condition for the group of leaf preserving diffeomorphisms to be simple

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