On a decomposition space of a weak self-similar set

Akihiko Kitada, Yoshihito Ogasawara

研究成果: Article

5 引用 (Scopus)

抜粋

Under some conditions concerning the weak contractions fj (d(fj(x), fj(y)) ≦ αj(l)d(x, y) for d(x, y) < l, l > 0, 0 < αj(l) < 1), j = 1, ..., m defined on a compact metric space X, a decomposition space of the weak self-similar set generated by the system fj, j = 1, ..., m is proved to be homeomorphic to X.

元の言語English
ページ(範囲)785-787
ページ数3
ジャーナルChaos, Solitons and Fractals
24
発行部数3
DOI
出版物ステータスPublished - 2005 5

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

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