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We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.
Emmanuel Militon. "Actions of the group of homeomorphisms of the circle on surfaces." Fundamenta Mathematicae 233.2 (2016): 143-172. <http://eudml.org/doc/286305>.
@article{EmmanuelMiliton2016, abstract = {We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.}, author = {Emmanuel Militon}, journal = {Fundamenta Mathematicae}, keywords = {groups of homeomorphisms; surfaces; circle}, language = {eng}, number = {2}, pages = {143-172}, title = {Actions of the group of homeomorphisms of the circle on surfaces}, url = {http://eudml.org/doc/286305}, volume = {233}, year = {2016}, }
TY - JOUR AU - Emmanuel Militon TI - Actions of the group of homeomorphisms of the circle on surfaces JO - Fundamenta Mathematicae PY - 2016 VL - 233 IS - 2 SP - 143 EP - 172 AB - We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus. LA - eng KW - groups of homeomorphisms; surfaces; circle UR - http://eudml.org/doc/286305 ER -