Topological fractals revisited
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866917677592739840 |
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| author | Karasová, Klára Vejnar, Benjamin |
| author_facet | Karasová, Klára Vejnar, Benjamin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_15394 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Topological fractals revisited Karasová, Klára Vejnar, Benjamin General Topology Dynamical Systems 37B45, 28A80 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. |
| title | Topological fractals revisited |
| topic | General Topology Dynamical Systems 37B45, 28A80 |
| url | https://arxiv.org/abs/2209.15394 |