HOMEOMORPHISM GROUPS OF COMMUTATOR WIDTH ONE

作者：Tsuboi Takashi^*

来源：Proceedings of the American Mathematical Society, 2013, 141(5): 1839-1847.

• Homeomorphism group
• uniformly perfect
• commutator subgroup

We show that any element of the identity component Homeo(S-n)(0) of the group of homeomorphisms of the n-dimensional sphere S-n can be written as one commutator. We also show that any element of the group Homeo(mu(n)) of homeomorphisms of the n-dimensional Menger compact space mu(n) can be written as one commutator.

• 出版日期2013-5