## 抄録

Let S be a zero-dimensional, perfect, compact weak self-similar set generated in dendrite X by a family {f_{j}} of weak contractions from X to itself. Decomposition space D_{f} of S due to a continuous mapping f from S onto X is also a dendrite. In the dendrite D_{f}, there exists a zero-dimensional, perfect, compact weak self-similar set S^{1} based on a family {f_{j}^{1}} each of which is topologically conjugate to f_{j}. Decomposition space D_{f1} of S^{1} due to a continuous mapping f^{1} from S^{1} onto D_{f} is again a dendrite. In this manner, through the successive formation of weak self-similar set, we can obtain a sequence X, D_{f}, D_{f1}, ... of dendrite any pair in which are mutually homeomorphic.

本文言語 | English |
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ページ（範囲） | 1732-1735 |

ページ数 | 4 |

ジャーナル | Chaos, solitons and fractals |

巻 | 34 |

号 | 5 |

DOI | |

出版ステータス | Published - 2007 12 1 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematics(all)
- Physics and Astronomy(all)
- Applied Mathematics