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Menger curve as inverse limit
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-07-28 , DOI: 10.1016/j.topol.2021.107788 Włodzimierz J. Charatonik 1 , Şahika Şahan 1, 2
中文翻译：
门格尔曲线作为逆极限
更新日期：2021-07-28
Topology and its Applications ( IF 0.6 ) Pub Date : 2021-07-28 , DOI: 10.1016/j.topol.2021.107788 Włodzimierz J. Charatonik 1 , Şahika Şahan 1, 2
Affiliation
We show that the Menger curve can be represented as a set-valued inverse limit of intervals with a single bonding function. The graph of the function is homeomorphic to the Sierpiński carpet. This answers a question by M. Hiraki and H. Kato.
中文翻译：
门格尔曲线作为逆极限
我们证明门格尔曲线可以表示为区间的设置值逆极限 具有单一的粘合功能。函数图与谢尔宾斯基地毯同胚。这回答了 M. Hiraki 和 H. Kato 的问题。
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