Smoothness is not an obstruction to realizability
Smoothness is not an obstruction to realizability
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平滑性并不妨碍实现
DOI：
10.1017/s0143385707000715
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发表时间：
2008
影响因子：
0.9
通讯作者：
A. Windsor
中科院分区：
文献类型：
--
作者：
A. Windsor
非负整数序列$(\Phi_n)_{n=1}^\Inty$称为可实现的，如果存在集合X的映射T使得ϕn=#{x：tnx=x}。我们证明了任何可实现的序列都可以由$\mathbb{T}^2$的$C^inty$微分同胚来实现。
Abstract A sequence of non-negative integers $(\phi _n)_{n =1}^\infty $ is said to be realizable if there is a map T of a set X such that ϕn=#{x:Tnx=x}. We prove that any realizable sequence can be realized by a $C^\infty $ diffeomorphism of $\mathbb {T}^2$.