|
|||||
|
|
On complete metric spaces containing the Sierpinski curve |
|
| Authors: | Janusz R. Prajs |
| Affiliation: | Institute of Mathematics, Opole University, ul. Oleska 48, 45-052 Opole, Poland |
| Abstract: | It is proved that a complete metric space topologically contains the Sierpinski universal plane curve if and only if it has a subset with so-called bypass property, i.e. it has a subset  containing an arc such that for each  and for each open arc  with  , there exists an arbitrary small arc in  joining the two components of  . |
| Keywords: | Bypass property embedding homogeneity local separating point Sierpi'nski curve |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |