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- W2020938779 abstract "Let S be a zero-dimensional, perfect, compact weak self-similar set generated in dendrite X by a family {fj} of weak contractions from X to itself. Decomposition space Df of S due to a continuous mapping f from S onto X is also a dendrite. In the dendrite Df, there exists a zero-dimensional, perfect, compact weak self-similar set S1 based on a family {fj1} each of which is topologically conjugate to fj. Decomposition space Df1 of S1 due to a continuous mapping f1 from S1 onto Df is again a dendrite. In this manner, through the successive formation of weak self-similar set, we can obtain a sequence X,Df,Df1,… of dendrite any pair in which are mutually homeomorphic." @default.
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- W2020938779 date "2007-12-01" @default.
- W2020938779 modified "2023-09-26" @default.
- W2020938779 title "On a dendrite generated by a zero-dimensional weak self-similar set" @default.
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- W2020938779 doi "https://doi.org/10.1016/j.chaos.2006.05.029" @default.
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