2 citations · 2 across the 3 of their papers we have counts for
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Locally continuously perfect groups of homeomorphisms
Tomasz Rybicki
The notion of a locally continuously perfect group is introduced and studied. This notion generalizes locally smoothly perfect groups introduced by Haller and Teichmann. Next, we p…
Example of an unbounded diffeomorphism group
Tomasz Rybicki
It is shown that the compactly supported identity component of the diffeomorphism group of the 2-dimensional punctured torus is an unbounded group. It follows that…
On the homeomorphism groups of manifolds and their universal coverings
Agnieszka Kowalik, Tomasz Rybicki
Let stand for the path connected identity component of the group of all compactly supported homeomorphisms of a manifold . It is shown that i…
Correspondence between diffeomorphism groups and singular foliations
Tomasz Rybicki
It is well-known that any isotopically connected diffeomorphism group of a manifold determines uniquely a singular foliation $\F_G$. A one-to-one correspondence between the cla…
On the Perfectness of Nontransitive Groups of Diffeomorphisms
Stefan Haller, Tomasz Rybicki
It is proven that the identity component of the group preserving the leaves of a generalized foliation is perfect. This shows that a well-known simplicity theorem on the diffeomorp…