On the homeomorphism groups of manifolds and their universal coverings

• Autorzy: Agnieszka Kowalik , Tomasz Rybicki
• Języki publikacji: EN

Abstrakty

EN

Let H c(M) stand for the path connected identity component of the group of all compactly supported homeomorphisms of a manifold M. It is shown that H c(M) is perfect and simple under mild assumptions on M. Next, conjugation-invariant norms on Hc(M) are considered and the boundedness of Hc(M) and its subgroups is investigated. Finally, the structure of the universal covering group of Hc(M) is studied.

Słowa kluczowe

EN

Group of homeomorphisms; Universal covering group; Perfect group; Bounded group; Fragmentation; Isotopy

Kategorie tematyczne

• 57S05: Topological properties of groups of homeomorphisms or diffeomorphisms
• 58D05: Groups of diffeomorphisms and homeomorphisms as manifolds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1217-1231

Daty

wydano

2011-12-01

online

2011-09-23

Twórcy

autor

Agnieszka Kowalik

• University of Science and Technology

autor

Tomasz Rybicki

• University of Science and Technology

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0081-4