摘要
The equivalence among bounded homeomorphisms of a surface, reducible homeomor- phisms of the surface, bounded automorphisms of the surface group, induced or exchange automor- phisms of the surface group, and the stabilizer of the translation length function of the tree action is established.
The equivalence among bounded homeomorphisms of a surface, reducible homeomor- phisms of the surface, bounded automorphisms of the surface group, induced or exchange automor- phisms of the surface group, and the stabilizer of the translation length function of the tree action is established.