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.
@article{bwmeta1.element.doi-10_2478_s11533-011-0081-4,
author = {Agnieszka Kowalik and Tomasz Rybicki},
title = {On the homeomorphism groups of manifolds and their universal coverings},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {1217-1231},
zbl = {1235.58008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0081-4}
}
Agnieszka Kowalik; Tomasz Rybicki. On the homeomorphism groups of manifolds and their universal coverings. Open Mathematics, Tome 9 (2011) pp. 1217-1231. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0081-4/
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