A Remark on the Group of Pl-homeomorphisms in Dimension One

@inproceedings{Ivanov2010ARO,
  title={A Remark on the Group of Pl-homeomorphisms in Dimension One},
  author={Sergei Ivanov},
  year={2010}
}
Many groups are unbounded for some obvious reasons. For instance, if a group admits an unbounded homomorphism (or a quasi-morphism, see below) to R, the group is unbounded. Apart from such cases, the problem of deciding whether a certain group is bounded turned out to be a surprisingly difficult task, and the answer is unknown for many nice groups such as the identity component of the group of diffeomorphisms of the two-torus. The main results of [BIP] is boundedness of certain groups of… CONTINUE READING