Generically there is but one self homeomorphism of the Cantor set
Generically there is but one self homeomorphism of the Cantor set
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一般来说，康托集只有一个自同胚
DOI：
10.1090/s0002-9947-08-04450-4
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
B. Weiss
中科院分区：
文献类型：
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作者：
E. Akin;E. Glasner;B. Weiss
刻画了Cantor集X的一个自同胚集R，并证明了它在X的所有同胚的Polish群H(X)中的共轭类构成了H(X)的稠密Gδ子集.我们还给出了具有稠密共轭类的局部紧的第二可数拓扑群的一个例子。
We describe a self homeomorphism R of the Cantor set X and then show that its conjugacy class in the Polish group H(X) of all homeomorphisms of X forms a dense G δ subset of H(X). We also provide an example of a locally compact, second countable topological group which has a dense conjugacy class.