鲨鱼牙齿是一个拓扑IFS吸引子
The shark teeth is a topological IFS-attractor
摘要：
我们证明了鲨鱼牙空间是一个拓扑IFS吸引子，即对于$X=\bigcup_{i=1}^nf_i(X)$的每个开覆盖，它在连续函数族$\{f_1,...,f_n\}$的每个适当的大合成下的像都位于覆盖的某个集合中.特别是，存在一个空间，它不是同胚的任何IFS吸引子，但它是一个拓扑IFS吸引子。
英文摘要：
We show that the space called shark teeth is a topological IFS-attractor, that is for every open cover of $X=\bigcup_{i=1}^nf_i(X)$, its image under every suitable large composition from the family of continuous functions $\{f_1,...,f_n\}$ lies in some set from the cover. In particular, there exists a space which is not homeomorphic to any IFS-attractor but is a topological IFS-attractor.
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