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- W4323283509 abstract "This paper concerns the local connectedness of components of self-similar sets. Let n≥2 be an integer and let D⊂{0,1,…,n−1}2. The self-similar set F satisfying F=⋃d∈D(F+d)/n is called a fractal square. We prove that every component of F is locally connected. The same result for three-dimensional analogues of F does not hold." @default.
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- W4323283509 date "2022-12-01" @default.
- W4323283509 modified "2023-10-15" @default.
- W4323283509 title "Every component of a fractal square is a Peano continuum" @default.
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- W4323283509 doi "https://doi.org/10.1016/j.topol.2022.108271" @default.
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