论文标题
重新审视拓扑分形
Topological fractals revisited
论文作者
论文摘要
我们证明，每个Peano连续体无数局部切点都是拓扑分形。这扩展了一些最近的结果，并部分回答了HATA的猜想。我们还讨论了见证拓扑分形结构所需的映射数量。
We prove that every Peano continuum with uncountably many local cut points is a topological fractal. This extends some recent results and it partially answers a conjecture by Hata. We also discuss the number of mappings which are necessary for witnessing the structure of a topological fractal.
