We confirm the Halperin-Carlsson conjecture for free Z_p-torus actions(p is a prime) on 2-dimensional finite CW-complexes and free Z_2-torus actions on closed 3-manifolds.
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 stabi...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.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 11371188)the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)
文摘We confirm the Halperin-Carlsson conjecture for free Z_p-torus actions(p is a prime) on 2-dimensional finite CW-complexes and free Z_2-torus actions on closed 3-manifolds.
文摘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.
